topology.algebra.module.finite_dimension ⟷ Mathlib.Topology.Algebra.Module.FiniteDimension

This file has been ported!

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -109,7 +109,7 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
       by_contra! h
       suffices (ΞΎβ‚€ * ξ⁻¹) β€’ ΞΎ ∈ balancedCore π•œ ({ΞΎβ‚€}ᢜ)
         by
-        rw [smul_eq_mul π•œ, mul_assoc, inv_mul_cancel hΞΎ0, mul_one] at this 
+        rw [smul_eq_mul π•œ, mul_assoc, inv_mul_cancel hΞΎ0, mul_one] at this
         exact not_mem_compl_iff.mpr (mem_singleton ΞΎβ‚€) ((balancedCore_subset _) this)
       -- For that, we use that `𝓑` is balanced : since `β€–ΞΎβ‚€β€– < Ξ΅ < β€–ΞΎβ€–`, we have `β€–ΞΎβ‚€ / ΞΎβ€– ≀ 1`,
       -- hence `ΞΎβ‚€ = (ΞΎβ‚€ / ΞΎ) β€’ ΞΎ ∈ 𝓑` because `ΞΎ ∈ 𝓑`.
@@ -143,7 +143,7 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsC
   by
   -- `l` is either constant or surjective. If it is constant, the result is trivial.
   by_cases H : finrank π•œ l.range = 0
-  Β· rw [Submodule.finrank_eq_zero, LinearMap.range_eq_bot] at H 
+  Β· rw [Submodule.finrank_eq_zero, LinearMap.range_eq_bot] at H
     rw [H]
     exact continuous_zero
   Β· -- In the case where `l` is surjective, we factor it as `Ο† : (E β§Έ l.ker) ≃ₗ[π•œ] π•œ`. Note that
@@ -206,7 +206,7 @@ theorem LinearMap.continuous_of_nonzero_on_open (l : E β†’β‚—[π•œ] π•œ) (s : S
     by
     rw [mem_interior_iff_mem_nhds]
     exact mem_of_superset (hs₁.mem_nhds hx) hs₃
-  rwa [hl.interior_compl] at this 
+  rwa [hl.interior_compl] at this
 #align linear_map.continuous_of_nonzero_on_open LinearMap.continuous_of_nonzero_on_open
 -/
 
@@ -219,9 +219,9 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
   by
   letI : UniformSpace E := TopologicalAddGroup.toUniformSpace E
   letI : UniformAddGroup E := comm_topologicalAddGroup_is_uniform
-  letI : SeparatedSpace E := separated_iff_t2.mpr ht2
+  letI : T0Space E := separated_iff_t2.mpr ht2
   induction' hn : Fintype.card ΞΉ with n IH generalizing ΞΉ E
-  Β· rw [Fintype.card_eq_zero_iff] at hn 
+  Β· rw [Fintype.card_eq_zero_iff] at hn
     exact continuous_of_const fun x y => funext hn.elim
   Β· haveI : FiniteDimensional π•œ E := of_fintype_basis ΞΎ
     -- first step: thanks to the induction hypothesis, any n-dimensional subspace is equivalent
@@ -245,16 +245,16 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
     have Hβ‚‚ : βˆ€ f : E β†’β‚—[π•œ] π•œ, Continuous f := by
       intro f
       by_cases H : finrank π•œ f.range = 0
-      Β· rw [Submodule.finrank_eq_zero, LinearMap.range_eq_bot] at H 
+      Β· rw [Submodule.finrank_eq_zero, LinearMap.range_eq_bot] at H
         rw [H]
         exact continuous_zero
       Β· have : finrank π•œ f.ker = n :=
           by
           have Z := f.finrank_range_add_finrank_ker
-          rw [finrank_eq_card_basis ΞΎ, hn] at Z 
+          rw [finrank_eq_card_basis ΞΎ, hn] at Z
           have : finrank π•œ f.range = 1 :=
             le_antisymm (finrank_self π•œ β–Έ f.range.finrank_le) (zero_lt_iff.mpr H)
-          rw [this, add_comm, Nat.add_one] at Z 
+          rw [this, add_comm, Nat.add_one] at Z
           exact Nat.succ.inj Z
         have : IsClosed (f.ker : Set E) := H₁ _ this
         exact LinearMap.continuous_of_isClosed_ker f this
Diff
@@ -143,7 +143,7 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsC
   by
   -- `l` is either constant or surjective. If it is constant, the result is trivial.
   by_cases H : finrank π•œ l.range = 0
-  Β· rw [finrank_eq_zero, LinearMap.range_eq_bot] at H 
+  Β· rw [Submodule.finrank_eq_zero, LinearMap.range_eq_bot] at H 
     rw [H]
     exact continuous_zero
   Β· -- In the case where `l` is surjective, we factor it as `Ο† : (E β§Έ l.ker) ≃ₗ[π•œ] π•œ`. Note that
@@ -245,7 +245,7 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
     have Hβ‚‚ : βˆ€ f : E β†’β‚—[π•œ] π•œ, Continuous f := by
       intro f
       by_cases H : finrank π•œ f.range = 0
-      Β· rw [finrank_eq_zero, LinearMap.range_eq_bot] at H 
+      Β· rw [Submodule.finrank_eq_zero, LinearMap.range_eq_bot] at H 
         rw [H]
         exact continuous_zero
       Β· have : finrank π•œ f.ker = n :=
Diff
@@ -106,7 +106,7 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
     Β· rw [mem_closedBall_zero_iff]
       -- Now suppose `ΞΎ β‰  0`. By contradiction, let's assume `Ξ΅ < β€–ΞΎβ€–`, and show that
       -- `ΞΎβ‚€ ∈ 𝓑 βŠ† {ΞΎβ‚€}ᢜ`, which is a contradiction.
-      by_contra' h
+      by_contra! h
       suffices (ΞΎβ‚€ * ξ⁻¹) β€’ ΞΎ ∈ balancedCore π•œ ({ΞΎβ‚€}ᢜ)
         by
         rw [smul_eq_mul π•œ, mul_assoc, inv_mul_cancel hΞΎ0, mul_one] at this 
Diff
@@ -3,10 +3,10 @@ Copyright (c) 2022 Anatole Dedecker. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: SΓ©bastien GouΓ«zel, Anatole Dedecker
 -/
-import Mathbin.Analysis.LocallyConvex.BalancedCoreHull
-import Mathbin.LinearAlgebra.FreeModule.Finite.Matrix
-import Mathbin.Topology.Algebra.Module.Simple
-import Mathbin.Topology.Algebra.Module.Determinant
+import Analysis.LocallyConvex.BalancedCoreHull
+import LinearAlgebra.FreeModule.Finite.Matrix
+import Topology.Algebra.Module.Simple
+import Topology.Algebra.Module.Determinant
 
 #align_import topology.algebra.module.finite_dimension from "leanprover-community/mathlib"@"50251fd6309cca5ca2e747882ffecd2729f38c5d"
 
Diff
@@ -2,17 +2,14 @@
 Copyright (c) 2022 Anatole Dedecker. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: SΓ©bastien GouΓ«zel, Anatole Dedecker
-
-! This file was ported from Lean 3 source module topology.algebra.module.finite_dimension
-! leanprover-community/mathlib commit 50251fd6309cca5ca2e747882ffecd2729f38c5d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.LocallyConvex.BalancedCoreHull
 import Mathbin.LinearAlgebra.FreeModule.Finite.Matrix
 import Mathbin.Topology.Algebra.Module.Simple
 import Mathbin.Topology.Algebra.Module.Determinant
 
+#align_import topology.algebra.module.finite_dimension from "leanprover-community/mathlib"@"50251fd6309cca5ca2e747882ffecd2729f38c5d"
+
 /-!
 # Finite dimensional topological vector spaces over complete fields
 
Diff
@@ -79,8 +79,7 @@ variable {π•œ : Type u} [hnorm : NontriviallyNormedField π•œ] {E : Type v} [Ad
   [AddCommGroup F'] [Module π•œ F'] [TopologicalSpace F'] [TopologicalAddGroup F']
   [ContinuousSMul π•œ F']
 
-include hnorm
-
+#print unique_topology_of_t2 /-
 /-- If `π•œ` is a nontrivially normed field, any T2 topology on `π•œ` which makes it a topological
 vector space over itself (with the norm topology) is *equal* to the norm topology. -/
 theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAddGroup π•œ t _)
@@ -137,7 +136,9 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
           tendsto_id (1 : π•œ))
       _ = @nhds π•œ t 0 := by rw [zero_smul]
 #align unique_topology_of_t2 unique_topology_of_t2
+-/
 
+#print LinearMap.continuous_of_isClosed_ker /-
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     its kernel is closed. -/
 theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsClosed (l.ker : Set E)) :
@@ -185,14 +186,18 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsC
     rw [this.symm, Equiv.induced_symm]
     exact continuous_coinduced_rng
 #align linear_map.continuous_of_is_closed_ker LinearMap.continuous_of_isClosed_ker
+-/
 
+#print LinearMap.continuous_iff_isClosed_ker /-
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     and only if its kernel is closed. -/
 theorem LinearMap.continuous_iff_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) :
     Continuous l ↔ IsClosed (l.ker : Set E) :=
   ⟨fun h => isClosed_singleton.Preimage h, l.continuous_of_isClosed_ker⟩
 #align linear_map.continuous_iff_is_closed_ker LinearMap.continuous_iff_isClosed_ker
+-/
 
+#print LinearMap.continuous_of_nonzero_on_open /-
 /-- Over a nontrivially normed field, any linear form which is nonzero on a nonempty open set is
     automatically continuous. -/
 theorem LinearMap.continuous_of_nonzero_on_open (l : E β†’β‚—[π•œ] π•œ) (s : Set E) (hs₁ : IsOpen s)
@@ -206,6 +211,7 @@ theorem LinearMap.continuous_of_nonzero_on_open (l : E β†’β‚—[π•œ] π•œ) (s : S
     exact mem_of_superset (hs₁.mem_nhds hx) hs₃
   rwa [hl.interior_compl] at this 
 #align linear_map.continuous_of_nonzero_on_open LinearMap.continuous_of_nonzero_on_open
+-/
 
 variable [CompleteSpace π•œ]
 
@@ -260,6 +266,7 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
     change Continuous (ΞΎ.coord i)
     exact Hβ‚‚ (ΞΎ.coord i)
 
+#print LinearMap.continuous_of_finiteDimensional /-
 /-- Any linear map on a finite dimensional space over a complete field is continuous. -/
 theorem LinearMap.continuous_of_finiteDimensional [T2Space E] [FiniteDimensional π•œ E]
     (f : E β†’β‚—[π•œ] F') : Continuous f :=
@@ -279,6 +286,7 @@ theorem LinearMap.continuous_of_finiteDimensional [T2Space E] [FiniteDimensional
   dsimp
   rw [Basis.equivFun_symm_apply, Basis.sum_repr]
 #align linear_map.continuous_of_finite_dimensional LinearMap.continuous_of_finiteDimensional
+-/
 
 #print LinearMap.continuousLinearMapClassOfFiniteDimensional /-
 instance LinearMap.continuousLinearMapClassOfFiniteDimensional [T2Space E] [FiniteDimensional π•œ E] :
@@ -287,6 +295,7 @@ instance LinearMap.continuousLinearMapClassOfFiniteDimensional [T2Space E] [Fini
 #align linear_map.continuous_linear_map_class_of_finite_dimensional LinearMap.continuousLinearMapClassOfFiniteDimensional
 -/
 
+#print continuous_equivFun_basis /-
 /-- In finite dimensions over a non-discrete complete normed field, the canonical identification
 (in terms of a basis) with `π•œ^n` (endowed with the product topology) is continuous.
 This is the key fact wich makes all linear maps from a T2 finite dimensional TVS over such a field
@@ -297,6 +306,7 @@ theorem continuous_equivFun_basis [T2Space E] {ΞΉ : Type _} [Fintype ΞΉ] (ΞΎ : B
   haveI : FiniteDimensional π•œ E := of_fintype_basis ΞΎ
   ΞΎ.equiv_fun.to_linear_map.continuous_of_finite_dimensional
 #align continuous_equiv_fun_basis continuous_equivFun_basis
+-/
 
 namespace LinearMap
 
@@ -315,37 +325,50 @@ def toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F'
 #align linear_map.to_continuous_linear_map LinearMap.toContinuousLinearMap
 -/
 
+#print LinearMap.coe_toContinuousLinearMap' /-
 @[simp]
 theorem coe_toContinuousLinearMap' (f : E β†’β‚—[π•œ] F') : ⇑f.toContinuousLinearMap = f :=
   rfl
 #align linear_map.coe_to_continuous_linear_map' LinearMap.coe_toContinuousLinearMap'
+-/
 
+#print LinearMap.coe_toContinuousLinearMap /-
 @[simp]
 theorem coe_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : (f.toContinuousLinearMap : E β†’β‚—[π•œ] F') = f :=
   rfl
 #align linear_map.coe_to_continuous_linear_map LinearMap.coe_toContinuousLinearMap
+-/
 
+#print LinearMap.coe_toContinuousLinearMap_symm /-
 @[simp]
 theorem coe_toContinuousLinearMap_symm :
     ⇑(toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F').symm = coe :=
   rfl
 #align linear_map.coe_to_continuous_linear_map_symm LinearMap.coe_toContinuousLinearMap_symm
+-/
 
+#print LinearMap.det_toContinuousLinearMap /-
 @[simp]
 theorem det_toContinuousLinearMap (f : E β†’β‚—[π•œ] E) : f.toContinuousLinearMap.det = f.det :=
   rfl
 #align linear_map.det_to_continuous_linear_map LinearMap.det_toContinuousLinearMap
+-/
 
+#print LinearMap.ker_toContinuousLinearMap /-
 @[simp]
 theorem ker_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : ker f.toContinuousLinearMap = ker f :=
   rfl
 #align linear_map.ker_to_continuous_linear_map LinearMap.ker_toContinuousLinearMap
+-/
 
+#print LinearMap.range_toContinuousLinearMap /-
 @[simp]
 theorem range_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : range f.toContinuousLinearMap = range f :=
   rfl
 #align linear_map.range_to_continuous_linear_map LinearMap.range_toContinuousLinearMap
+-/
 
+#print LinearMap.isOpenMap_of_finiteDimensional /-
 /-- A surjective linear map `f` with finite dimensional codomain is an open map. -/
 theorem isOpenMap_of_finiteDimensional (f : F β†’β‚—[π•œ] E) (hf : Function.Surjective f) : IsOpenMap f :=
   by
@@ -358,6 +381,7 @@ theorem isOpenMap_of_finiteDimensional (f : F β†’β‚—[π•œ] E) (hf : Function.Sur
   Β· rw [sub_self, map_zero, zero_add]
   Β· simp only [map_sub, map_add, ← comp_apply f g, hg, id_apply, sub_add_cancel]
 #align linear_map.is_open_map_of_finite_dimensional LinearMap.isOpenMap_of_finiteDimensional
+-/
 
 #print LinearMap.canLiftContinuousLinearMap /-
 instance canLiftContinuousLinearMap : CanLift (E β†’β‚—[π•œ] F) (E β†’L[π•œ] F) coe fun _ => True :=
@@ -392,10 +416,12 @@ theorem coe_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : (e.toContinuousLine
 #align linear_equiv.coe_to_continuous_linear_equiv LinearEquiv.coe_toContinuousLinearEquiv
 -/
 
+#print LinearEquiv.coe_toContinuousLinearEquiv' /-
 @[simp]
 theorem coe_toContinuousLinearEquiv' (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’ F) = e :=
   rfl
 #align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_toContinuousLinearEquiv'
+-/
 
 #print LinearEquiv.coe_toContinuousLinearEquiv_symm /-
 @[simp]
@@ -405,11 +431,13 @@ theorem coe_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
 #align linear_equiv.coe_to_continuous_linear_equiv_symm LinearEquiv.coe_toContinuousLinearEquiv_symm
 -/
 
+#print LinearEquiv.coe_toContinuousLinearEquiv_symm' /-
 @[simp]
 theorem coe_toContinuousLinearEquiv_symm' (e : E ≃ₗ[π•œ] F) :
     (e.toContinuousLinearEquiv.symm : F β†’ E) = e.symm :=
   rfl
 #align linear_equiv.coe_to_continuous_linear_equiv_symm' LinearEquiv.coe_toContinuousLinearEquiv_symm'
+-/
 
 #print LinearEquiv.toLinearEquiv_toContinuousLinearEquiv /-
 @[simp]
@@ -477,10 +505,12 @@ def constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : E β†’L[π•œ] F :=
 #align basis.constrL Basis.constrL
 -/
 
+#print Basis.coe_constrL /-
 @[simp, norm_cast]
 theorem coe_constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : (v.constrL f : E β†’β‚—[π•œ] F) = v.constr π•œ f :=
   rfl
 #align basis.coe_constrL Basis.coe_constrL
+-/
 
 #print Basis.equivFunL /-
 /-- The continuous linear equivalence between a vector space over `π•œ` with a finite basis and
@@ -497,16 +527,20 @@ def equivFunL (v : Basis ΞΉ π•œ E) : E ≃L[π•œ] ΞΉ β†’ π•œ :=
 #align basis.equiv_funL Basis.equivFunL
 -/
 
+#print Basis.constrL_apply /-
 @[simp]
 theorem constrL_apply (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
     (v.constrL f) e = βˆ‘ i, v.equivFun e i β€’ f i :=
   v.constr_apply_fintype π•œ _ _
 #align basis.constrL_apply Basis.constrL_apply
+-/
 
+#print Basis.constrL_basis /-
 @[simp]
 theorem constrL_basis (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (i : ΞΉ) : (v.constrL f) (v i) = f i :=
   v.constr_basis π•œ _ _
 #align basis.constrL_basis Basis.constrL_basis
+-/
 
 end Basis
 
@@ -514,29 +548,37 @@ namespace ContinuousLinearMap
 
 variable [T2Space E] [FiniteDimensional π•œ E]
 
+#print ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero /-
 /-- Builds a continuous linear equivalence from a continuous linear map on a finite-dimensional
 vector space whose determinant is nonzero. -/
 def toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) : E ≃L[π•œ] E :=
   ((f : E β†’β‚—[π•œ] E).equivOfDetNeZero hf).toContinuousLinearEquiv
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero
+-/
 
+#print ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero /-
 @[simp]
 theorem coe_toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) :
     (f.toContinuousLinearEquivOfDetNeZero hf : E β†’L[π•œ] E) = f := by ext x; rfl
 #align continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero
+-/
 
+#print ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply /-
 @[simp]
 theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.det β‰  0) (x : E) :
     f.toContinuousLinearEquivOfDetNeZero hf x = f x :=
   rfl
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply
+-/
 
+#print Matrix.toLin_finTwoProd_toContinuousLinearMap /-
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
     (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ) !![a, b; c, d]).toContinuousLinearMap =
       (a β€’ ContinuousLinearMap.fst π•œ π•œ π•œ + b β€’ ContinuousLinearMap.snd π•œ π•œ π•œ).Prod
         (c β€’ ContinuousLinearMap.fst π•œ π•œ π•œ + d β€’ ContinuousLinearMap.snd π•œ π•œ π•œ) :=
   ContinuousLinearMap.ext <| Matrix.toLin_finTwoProd_apply _ _ _ _
 #align matrix.to_lin_fin_two_prod_to_continuous_linear_map Matrix.toLin_finTwoProd_toContinuousLinearMap
+-/
 
 end ContinuousLinearMap
 
Diff
@@ -136,7 +136,6 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
         (@tendsto.smul_const _ _ _ hnorm.to_uniform_space.to_topological_space t _ _ _ _ _
           tendsto_id (1 : π•œ))
       _ = @nhds π•œ t 0 := by rw [zero_smul]
-      
 #align unique_topology_of_t2 unique_topology_of_t2
 
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
Diff
@@ -113,7 +113,7 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
       by_contra' h
       suffices (ΞΎβ‚€ * ξ⁻¹) β€’ ΞΎ ∈ balancedCore π•œ ({ΞΎβ‚€}ᢜ)
         by
-        rw [smul_eq_mul π•œ, mul_assoc, inv_mul_cancel hΞΎ0, mul_one] at this
+        rw [smul_eq_mul π•œ, mul_assoc, inv_mul_cancel hΞΎ0, mul_one] at this 
         exact not_mem_compl_iff.mpr (mem_singleton ΞΎβ‚€) ((balancedCore_subset _) this)
       -- For that, we use that `𝓑` is balanced : since `β€–ΞΎβ‚€β€– < Ξ΅ < β€–ΞΎβ€–`, we have `β€–ΞΎβ‚€ / ΞΎβ€– ≀ 1`,
       -- hence `ΞΎβ‚€ = (ΞΎβ‚€ / ΞΎ) β€’ ΞΎ ∈ 𝓑` because `ΞΎ ∈ 𝓑`.
@@ -146,7 +146,7 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsC
   by
   -- `l` is either constant or surjective. If it is constant, the result is trivial.
   by_cases H : finrank π•œ l.range = 0
-  Β· rw [finrank_eq_zero, LinearMap.range_eq_bot] at H
+  Β· rw [finrank_eq_zero, LinearMap.range_eq_bot] at H 
     rw [H]
     exact continuous_zero
   Β· -- In the case where `l` is surjective, we factor it as `Ο† : (E β§Έ l.ker) ≃ₗ[π•œ] π•œ`. Note that
@@ -205,7 +205,7 @@ theorem LinearMap.continuous_of_nonzero_on_open (l : E β†’β‚—[π•œ] π•œ) (s : S
     by
     rw [mem_interior_iff_mem_nhds]
     exact mem_of_superset (hs₁.mem_nhds hx) hs₃
-  rwa [hl.interior_compl] at this
+  rwa [hl.interior_compl] at this 
 #align linear_map.continuous_of_nonzero_on_open LinearMap.continuous_of_nonzero_on_open
 
 variable [CompleteSpace π•œ]
@@ -219,7 +219,7 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
   letI : UniformAddGroup E := comm_topologicalAddGroup_is_uniform
   letI : SeparatedSpace E := separated_iff_t2.mpr ht2
   induction' hn : Fintype.card ΞΉ with n IH generalizing ΞΉ E
-  Β· rw [Fintype.card_eq_zero_iff] at hn
+  Β· rw [Fintype.card_eq_zero_iff] at hn 
     exact continuous_of_const fun x y => funext hn.elim
   Β· haveI : FiniteDimensional π•œ E := of_fintype_basis ΞΎ
     -- first step: thanks to the induction hypothesis, any n-dimensional subspace is equivalent
@@ -243,16 +243,16 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
     have Hβ‚‚ : βˆ€ f : E β†’β‚—[π•œ] π•œ, Continuous f := by
       intro f
       by_cases H : finrank π•œ f.range = 0
-      Β· rw [finrank_eq_zero, LinearMap.range_eq_bot] at H
+      Β· rw [finrank_eq_zero, LinearMap.range_eq_bot] at H 
         rw [H]
         exact continuous_zero
       Β· have : finrank π•œ f.ker = n :=
           by
           have Z := f.finrank_range_add_finrank_ker
-          rw [finrank_eq_card_basis ΞΎ, hn] at Z
+          rw [finrank_eq_card_basis ΞΎ, hn] at Z 
           have : finrank π•œ f.range = 1 :=
             le_antisymm (finrank_self π•œ β–Έ f.range.finrank_le) (zero_lt_iff.mpr H)
-          rw [this, add_comm, Nat.add_one] at Z
+          rw [this, add_comm, Nat.add_one] at Z 
           exact Nat.succ.inj Z
         have : IsClosed (f.ker : Set E) := H₁ _ this
         exact LinearMap.continuous_of_isClosed_ker f this
Diff
@@ -317,9 +317,9 @@ def toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F'
 -/
 
 @[simp]
-theorem coe_to_continuous_linear_map' (f : E β†’β‚—[π•œ] F') : ⇑f.toContinuousLinearMap = f :=
+theorem coe_toContinuousLinearMap' (f : E β†’β‚—[π•œ] F') : ⇑f.toContinuousLinearMap = f :=
   rfl
-#align linear_map.coe_to_continuous_linear_map' LinearMap.coe_to_continuous_linear_map'
+#align linear_map.coe_to_continuous_linear_map' LinearMap.coe_toContinuousLinearMap'
 
 @[simp]
 theorem coe_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : (f.toContinuousLinearMap : E β†’β‚—[π•œ] F') = f :=
@@ -394,9 +394,9 @@ theorem coe_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : (e.toContinuousLine
 -/
 
 @[simp]
-theorem coe_to_continuous_linear_equiv' (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’ F) = e :=
+theorem coe_toContinuousLinearEquiv' (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’ F) = e :=
   rfl
-#align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_to_continuous_linear_equiv'
+#align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_toContinuousLinearEquiv'
 
 #print LinearEquiv.coe_toContinuousLinearEquiv_symm /-
 @[simp]
Diff
@@ -56,7 +56,7 @@ noncomputable section
 
 open Set FiniteDimensional TopologicalSpace Filter
 
-open BigOperators
+open scoped BigOperators
 
 section Field
 
Diff
@@ -81,12 +81,6 @@ variable {π•œ : Type u} [hnorm : NontriviallyNormedField π•œ] {E : Type v} [Ad
 
 include hnorm
 
-/- warning: unique_topology_of_t2 -> unique_topology_of_t2 is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {t : TopologicalSpace.{u1} π•œ}, (TopologicalAddGroup.{u1} π•œ t (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousSMul.{u1, u1} π•œ π•œ (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (MetricSpace.toPseudoMetricSpace.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) t) -> (T2Space.{u1} π•œ t) -> (Eq.{succ u1} (TopologicalSpace.{u1} π•œ) t (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (MetricSpace.toPseudoMetricSpace.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {t : TopologicalSpace.{u1} π•œ}, (TopologicalAddGroup.{u1} π•œ t (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousSMul.{u1, u1} π•œ π•œ (Algebra.toSMul.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NormedAlgebra.toAlgebra.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedAlgebra.id.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (MetricSpace.toPseudoMetricSpace.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) t) -> (T2Space.{u1} π•œ t) -> (Eq.{succ u1} (TopologicalSpace.{u1} π•œ) t (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (MetricSpace.toPseudoMetricSpace.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))
-Case conversion may be inaccurate. Consider using '#align unique_topology_of_t2 unique_topology_of_t2β‚“'. -/
 /-- If `π•œ` is a nontrivially normed field, any T2 topology on `π•œ` which makes it a topological
 vector space over itself (with the norm topology) is *equal* to the norm topology. -/
 theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAddGroup π•œ t _)
@@ -145,9 +139,6 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
       
 #align unique_topology_of_t2 unique_topology_of_t2
 
-/- warning: linear_map.continuous_of_is_closed_ker -> LinearMap.continuous_of_isClosed_ker is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_is_closed_ker LinearMap.continuous_of_isClosed_kerβ‚“'. -/
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     its kernel is closed. -/
 theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsClosed (l.ker : Set E)) :
@@ -196,9 +187,6 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsC
     exact continuous_coinduced_rng
 #align linear_map.continuous_of_is_closed_ker LinearMap.continuous_of_isClosed_ker
 
-/- warning: linear_map.continuous_iff_is_closed_ker -> LinearMap.continuous_iff_isClosed_ker is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.continuous_iff_is_closed_ker LinearMap.continuous_iff_isClosed_kerβ‚“'. -/
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     and only if its kernel is closed. -/
 theorem LinearMap.continuous_iff_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) :
@@ -206,9 +194,6 @@ theorem LinearMap.continuous_iff_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) :
   ⟨fun h => isClosed_singleton.Preimage h, l.continuous_of_isClosed_ker⟩
 #align linear_map.continuous_iff_is_closed_ker LinearMap.continuous_iff_isClosed_ker
 
-/- warning: linear_map.continuous_of_nonzero_on_open -> LinearMap.continuous_of_nonzero_on_open is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_nonzero_on_open LinearMap.continuous_of_nonzero_on_openβ‚“'. -/
 /-- Over a nontrivially normed field, any linear form which is nonzero on a nonempty open set is
     automatically continuous. -/
 theorem LinearMap.continuous_of_nonzero_on_open (l : E β†’β‚—[π•œ] π•œ) (s : Set E) (hs₁ : IsOpen s)
@@ -276,9 +261,6 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
     change Continuous (ΞΎ.coord i)
     exact Hβ‚‚ (ΞΎ.coord i)
 
-/- warning: linear_map.continuous_of_finite_dimensional -> LinearMap.continuous_of_finiteDimensional is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_finite_dimensional LinearMap.continuous_of_finiteDimensionalβ‚“'. -/
 /-- Any linear map on a finite dimensional space over a complete field is continuous. -/
 theorem LinearMap.continuous_of_finiteDimensional [T2Space E] [FiniteDimensional π•œ E]
     (f : E β†’β‚—[π•œ] F') : Continuous f :=
@@ -306,9 +288,6 @@ instance LinearMap.continuousLinearMapClassOfFiniteDimensional [T2Space E] [Fini
 #align linear_map.continuous_linear_map_class_of_finite_dimensional LinearMap.continuousLinearMapClassOfFiniteDimensional
 -/
 
-/- warning: continuous_equiv_fun_basis -> continuous_equivFun_basis is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_equiv_fun_basis continuous_equivFun_basisβ‚“'. -/
 /-- In finite dimensions over a non-discrete complete normed field, the canonical identification
 (in terms of a basis) with `π•œ^n` (endowed with the product topology) is continuous.
 This is the key fact wich makes all linear maps from a T2 finite dimensional TVS over such a field
@@ -337,58 +316,37 @@ def toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F'
 #align linear_map.to_continuous_linear_map LinearMap.toContinuousLinearMap
 -/
 
-/- warning: linear_map.coe_to_continuous_linear_map' -> LinearMap.coe_to_continuous_linear_map' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map' LinearMap.coe_to_continuous_linear_map'β‚“'. -/
 @[simp]
 theorem coe_to_continuous_linear_map' (f : E β†’β‚—[π•œ] F') : ⇑f.toContinuousLinearMap = f :=
   rfl
 #align linear_map.coe_to_continuous_linear_map' LinearMap.coe_to_continuous_linear_map'
 
-/- warning: linear_map.coe_to_continuous_linear_map -> LinearMap.coe_toContinuousLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map LinearMap.coe_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : (f.toContinuousLinearMap : E β†’β‚—[π•œ] F') = f :=
   rfl
 #align linear_map.coe_to_continuous_linear_map LinearMap.coe_toContinuousLinearMap
 
-/- warning: linear_map.coe_to_continuous_linear_map_symm -> LinearMap.coe_toContinuousLinearMap_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map_symm LinearMap.coe_toContinuousLinearMap_symmβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearMap_symm :
     ⇑(toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F').symm = coe :=
   rfl
 #align linear_map.coe_to_continuous_linear_map_symm LinearMap.coe_toContinuousLinearMap_symm
 
-/- warning: linear_map.det_to_continuous_linear_map -> LinearMap.det_toContinuousLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.det_to_continuous_linear_map LinearMap.det_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem det_toContinuousLinearMap (f : E β†’β‚—[π•œ] E) : f.toContinuousLinearMap.det = f.det :=
   rfl
 #align linear_map.det_to_continuous_linear_map LinearMap.det_toContinuousLinearMap
 
-/- warning: linear_map.ker_to_continuous_linear_map -> LinearMap.ker_toContinuousLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.ker_to_continuous_linear_map LinearMap.ker_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem ker_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : ker f.toContinuousLinearMap = ker f :=
   rfl
 #align linear_map.ker_to_continuous_linear_map LinearMap.ker_toContinuousLinearMap
 
-/- warning: linear_map.range_to_continuous_linear_map -> LinearMap.range_toContinuousLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.range_to_continuous_linear_map LinearMap.range_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem range_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : range f.toContinuousLinearMap = range f :=
   rfl
 #align linear_map.range_to_continuous_linear_map LinearMap.range_toContinuousLinearMap
 
-/- warning: linear_map.is_open_map_of_finite_dimensional -> LinearMap.isOpenMap_of_finiteDimensional is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.is_open_map_of_finite_dimensional LinearMap.isOpenMap_of_finiteDimensionalβ‚“'. -/
 /-- A surjective linear map `f` with finite dimensional codomain is an open map. -/
 theorem isOpenMap_of_finiteDimensional (f : F β†’β‚—[π•œ] E) (hf : Function.Surjective f) : IsOpenMap f :=
   by
@@ -435,9 +393,6 @@ theorem coe_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : (e.toContinuousLine
 #align linear_equiv.coe_to_continuous_linear_equiv LinearEquiv.coe_toContinuousLinearEquiv
 -/
 
-/- warning: linear_equiv.coe_to_continuous_linear_equiv' -> LinearEquiv.coe_to_continuous_linear_equiv' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_to_continuous_linear_equiv'β‚“'. -/
 @[simp]
 theorem coe_to_continuous_linear_equiv' (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’ F) = e :=
   rfl
@@ -451,9 +406,6 @@ theorem coe_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
 #align linear_equiv.coe_to_continuous_linear_equiv_symm LinearEquiv.coe_toContinuousLinearEquiv_symm
 -/
 
-/- warning: linear_equiv.coe_to_continuous_linear_equiv_symm' -> LinearEquiv.coe_toContinuousLinearEquiv_symm' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_continuous_linear_equiv_symm' LinearEquiv.coe_toContinuousLinearEquiv_symm'β‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearEquiv_symm' (e : E ≃ₗ[π•œ] F) :
     (e.toContinuousLinearEquiv.symm : F β†’ E) = e.symm :=
@@ -526,9 +478,6 @@ def constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : E β†’L[π•œ] F :=
 #align basis.constrL Basis.constrL
 -/
 
-/- warning: basis.coe_constrL -> Basis.coe_constrL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align basis.coe_constrL Basis.coe_constrLβ‚“'. -/
 @[simp, norm_cast]
 theorem coe_constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : (v.constrL f : E β†’β‚—[π•œ] F) = v.constr π•œ f :=
   rfl
@@ -549,18 +498,12 @@ def equivFunL (v : Basis ΞΉ π•œ E) : E ≃L[π•œ] ΞΉ β†’ π•œ :=
 #align basis.equiv_funL Basis.equivFunL
 -/
 
-/- warning: basis.constrL_apply -> Basis.constrL_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align basis.constrL_apply Basis.constrL_applyβ‚“'. -/
 @[simp]
 theorem constrL_apply (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
     (v.constrL f) e = βˆ‘ i, v.equivFun e i β€’ f i :=
   v.constr_apply_fintype π•œ _ _
 #align basis.constrL_apply Basis.constrL_apply
 
-/- warning: basis.constrL_basis -> Basis.constrL_basis is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align basis.constrL_basis Basis.constrL_basisβ‚“'. -/
 @[simp]
 theorem constrL_basis (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (i : ΞΉ) : (v.constrL f) (v i) = f i :=
   v.constr_basis π•œ _ _
@@ -572,35 +515,23 @@ namespace ContinuousLinearMap
 
 variable [T2Space E] [FiniteDimensional π•œ E]
 
-/- warning: continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero -> ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.toContinuousLinearEquivOfDetNeZeroβ‚“'. -/
 /-- Builds a continuous linear equivalence from a continuous linear map on a finite-dimensional
 vector space whose determinant is nonzero. -/
 def toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) : E ≃L[π•œ] E :=
   ((f : E β†’β‚—[π•œ] E).equivOfDetNeZero hf).toContinuousLinearEquiv
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero
 
-/- warning: continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero -> ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZeroβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) :
     (f.toContinuousLinearEquivOfDetNeZero hf : E β†’L[π•œ] E) = f := by ext x; rfl
 #align continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero
 
-/- warning: continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply -> ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_applyβ‚“'. -/
 @[simp]
 theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.det β‰  0) (x : E) :
     f.toContinuousLinearEquivOfDetNeZero hf x = f x :=
   rfl
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply
 
-/- warning: matrix.to_lin_fin_two_prod_to_continuous_linear_map -> Matrix.toLin_finTwoProd_toContinuousLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.to_lin_fin_two_prod_to_continuous_linear_map Matrix.toLin_finTwoProd_toContinuousLinearMapβ‚“'. -/
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
     (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ) !![a, b; c, d]).toContinuousLinearMap =
       (a β€’ ContinuousLinearMap.fst π•œ π•œ π•œ + b β€’ ContinuousLinearMap.snd π•œ π•œ π•œ).Prod
Diff
@@ -246,9 +246,7 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
       let b := Basis.ofVectorSpace π•œ s
       have U : UniformEmbedding b.equiv_fun.symm.to_equiv :=
         by
-        have : Fintype.card (Basis.ofVectorSpaceIndex π•œ s) = n :=
-          by
-          rw [← s_dim]
+        have : Fintype.card (Basis.ofVectorSpaceIndex π•œ s) = n := by rw [← s_dim];
           exact (finrank_eq_card_basis b).symm
         have : Continuous b.equiv_fun := IH b this
         exact
@@ -465,20 +463,14 @@ theorem coe_toContinuousLinearEquiv_symm' (e : E ≃ₗ[π•œ] F) :
 #print LinearEquiv.toLinearEquiv_toContinuousLinearEquiv /-
 @[simp]
 theorem toLinearEquiv_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) :
-    e.toContinuousLinearEquiv.toLinearEquiv = e :=
-  by
-  ext x
-  rfl
+    e.toContinuousLinearEquiv.toLinearEquiv = e := by ext x; rfl
 #align linear_equiv.to_linear_equiv_to_continuous_linear_equiv LinearEquiv.toLinearEquiv_toContinuousLinearEquiv
 -/
 
 #print LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm /-
 @[simp]
 theorem toLinearEquiv_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
-    e.toContinuousLinearEquiv.symm.toLinearEquiv = e.symm :=
-  by
-  ext x
-  rfl
+    e.toContinuousLinearEquiv.symm.toLinearEquiv = e.symm := by ext x; rfl
 #align linear_equiv.to_linear_equiv_to_continuous_linear_equiv_symm LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm
 -/
 
@@ -594,10 +586,7 @@ def toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) :
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZeroβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) :
-    (f.toContinuousLinearEquivOfDetNeZero hf : E β†’L[π•œ] E) = f :=
-  by
-  ext x
-  rfl
+    (f.toContinuousLinearEquivOfDetNeZero hf : E β†’L[π•œ] E) = f := by ext x; rfl
 #align continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero
 
 /- warning: continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply -> ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply is a dubious translation:
Diff
@@ -146,10 +146,7 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
 #align unique_topology_of_t2 unique_topology_of_t2
 
 /- warning: linear_map.continuous_of_is_closed_ker -> LinearMap.continuous_of_isClosed_ker is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), (IsClosed.{u2} E _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (CoeTCβ‚“.coe.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (LinearMap.ker.{u1, u1, u2, u1, max u2 u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), (IsClosed.{u2} E _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u1, max u1 u2} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_is_closed_ker LinearMap.continuous_of_isClosed_kerβ‚“'. -/
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     its kernel is closed. -/
@@ -200,10 +197,7 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsC
 #align linear_map.continuous_of_is_closed_ker LinearMap.continuous_of_isClosed_ker
 
 /- warning: linear_map.continuous_iff_is_closed_ker -> LinearMap.continuous_iff_isClosed_ker is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), Iff (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)) (IsClosed.{u2} E _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (CoeTCβ‚“.coe.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (LinearMap.ker.{u1, u1, u2, u1, max u2 u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)))
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), Iff (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)) (IsClosed.{u2} E _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u1, max u1 u2} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.continuous_iff_is_closed_ker LinearMap.continuous_iff_isClosed_kerβ‚“'. -/
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     and only if its kernel is closed. -/
@@ -213,10 +207,7 @@ theorem LinearMap.continuous_iff_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) :
 #align linear_map.continuous_iff_is_closed_ker LinearMap.continuous_iff_isClosed_ker
 
 /- warning: linear_map.continuous_of_nonzero_on_open -> LinearMap.continuous_of_nonzero_on_open is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (s : Set.{u2} E), (IsOpen.{u2} E _inst_3 s) -> (Set.Nonempty.{u2} E s) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u1} π•œ (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l x) (OfNat.ofNat.{u1} π•œ 0 (OfNat.mk.{u1} π•œ 0 (Zero.zero.{u1} π•œ (MulZeroClass.toHasZero.{u1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (s : Set.{u2} E), (IsOpen.{u2} E _inst_3 s) -> (Set.Nonempty.{u2} E s) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l x) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (CommGroupWithZero.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (Semifield.toCommGroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (NontriviallyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) hnorm)))))))))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_nonzero_on_open LinearMap.continuous_of_nonzero_on_openβ‚“'. -/
 /-- Over a nontrivially normed field, any linear form which is nonzero on a nonempty open set is
     automatically continuous. -/
@@ -286,13 +277,9 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
     intro i
     change Continuous (ΞΎ.coord i)
     exact Hβ‚‚ (ΞΎ.coord i)
-#align continuous_equiv_fun_basis_aux continuous_equiv_fun_basis_aux
 
 /- warning: linear_map.continuous_of_finite_dimensional -> LinearMap.continuous_of_finiteDimensional is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Continuous.{u2, u3} E F' _inst_3 _inst_13 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => E -> F') (LinearMap.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Continuous.{u2, u3} E F' _inst_3 _inst_13 (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F') _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_finite_dimensional LinearMap.continuous_of_finiteDimensionalβ‚“'. -/
 /-- Any linear map on a finite dimensional space over a complete field is continuous. -/
 theorem LinearMap.continuous_of_finiteDimensional [T2Space E] [FiniteDimensional π•œ E]
@@ -322,10 +309,7 @@ instance LinearMap.continuousLinearMapClassOfFiniteDimensional [T2Space E] [Fini
 -/
 
 /- warning: continuous_equiv_fun_basis -> continuous_equivFun_basis is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] {ΞΉ : Type.{u3}} [_inst_18 : Fintype.{u3} ΞΉ] (ΞΎ : Basis.{u3, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2), Continuous.{u2, max u3 u1} E (ΞΉ -> π•œ) _inst_3 (Pi.topologicalSpace.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (a : ΞΉ) => UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (coeFn.{max (succ u2) (succ (max u3 u1)), max (succ u2) (succ (max u3 u1))} (LinearEquiv.{u1, u1, u2, max u3 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u3, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearEquiv.{u1, u1, u2, max u3 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u3, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => E -> ΞΉ -> π•œ) (LinearEquiv.hasCoeToFun.{u1, u1, u2, max u3 u1} π•œ π•œ E (ΞΉ -> π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u3, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.equivFun.{u3, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_18 ΞΎ))
-but is expected to have type
-  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] [_inst_17 : T2Space.{u3} E _inst_3] {ΞΉ : Type.{u1}} [_inst_18 : Fintype.{u1} ΞΉ] (ΞΎ : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2), Continuous.{u3, max u2 u1} E (ΞΉ -> π•œ) _inst_3 (Pi.topologicalSpace.{u1, u2} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (a : ΞΉ) => UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u3, max (succ u2) (succ u1)} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => ΞΉ -> π•œ) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (SMulZeroClass.toSMul.{u2, u3} π•œ E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribSMul.toSMulZeroClass.{u2, u3} π•œ E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribMulAction.toDistribSMul.{u2, u3} π•œ E (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toZero.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toAddZeroClass.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, max u2 u1, max (max u2 u3) u1} π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, max u2 u1, max (max u2 u3) u1} π•œ π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, max u2 u1} π•œ π•œ E (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.equivFun.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 _inst_18 ΞΎ))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_equiv_fun_basis continuous_equivFun_basisβ‚“'. -/
 /-- In finite dimensions over a non-discrete complete normed field, the canonical identification
 (in terms of a basis) with `π•œ^n` (endowed with the product topology) is continuous.
@@ -356,10 +340,7 @@ def toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F'
 -/
 
 /- warning: linear_map.coe_to_continuous_linear_map' -> LinearMap.coe_to_continuous_linear_map' is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (E -> F') (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => E -> F') (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => E -> F') (LinearMap.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (forall (αΎ° : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F') αΎ°) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F') _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) E F' _inst_3 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12))) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F') _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map' LinearMap.coe_to_continuous_linear_map'β‚“'. -/
 @[simp]
 theorem coe_to_continuous_linear_map' (f : E β†’β‚—[π•œ] F') : ⇑f.toContinuousLinearMap = f :=
@@ -367,10 +348,7 @@ theorem coe_to_continuous_linear_map' (f : E β†’β‚—[π•œ] F') : ⇑f.toContinuou
 #align linear_map.coe_to_continuous_linear_map' LinearMap.coe_to_continuous_linear_map'
 
 /- warning: linear_map.coe_to_continuous_linear_map -> LinearMap.coe_toContinuousLinearMap is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (CoeTCβ‚“.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)))) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) f
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) f
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map LinearMap.coe_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : (f.toContinuousLinearMap : E β†’β‚—[π•œ] F') = f :=
@@ -378,10 +356,7 @@ theorem coe_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : (f.toContinuousLinea
 #align linear_map.coe_to_continuous_linear_map LinearMap.coe_toContinuousLinearMap
 
 /- warning: linear_map.coe_to_continuous_linear_map_symm -> LinearMap.coe_toContinuousLinearMap_symm is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2], Eq.{succ (max u2 u3)} ((ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12))) => (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm)) (LinearEquiv.symm.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (CoeTCβ‚“.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)))))
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2], Eq.{max (succ u2) (succ u3)} (forall (αΎ° : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) αΎ°) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, max u2 u3, max u2 u3} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (SMulZeroClass.toSMul.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, max u2 u3, max u2 u3} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u2 u3, max u2 u3, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u2 u3, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearEquiv.symm.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18))) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map_symm LinearMap.coe_toContinuousLinearMap_symmβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearMap_symm :
@@ -390,10 +365,7 @@ theorem coe_toContinuousLinearMap_symm :
 #align linear_map.coe_to_continuous_linear_map_symm LinearMap.coe_toContinuousLinearMap_symm
 
 /- warning: linear_map.det_to_continuous_linear_map -> LinearMap.det_toContinuousLinearMap is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4))) (fun (_x : LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4))) => (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) -> (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) -> π•œ) (MonoidHom.hasCoeToFun.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (FunLike.coe.{succ u2, succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) _x) (SMulHomClass.toFunLike.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (SMulZeroClass.toSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => π•œ) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulOneClass.toMul.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (MulOneClass.toMul.{u1} π•œ (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MonoidHomClass.toMulHomClass.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MonoidHom.monoidHomClass.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.det_to_continuous_linear_map LinearMap.det_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem det_toContinuousLinearMap (f : E β†’β‚—[π•œ] E) : f.toContinuousLinearMap.det = f.det :=
@@ -401,10 +373,7 @@ theorem det_toContinuousLinearMap (f : E β†’β‚—[π•œ] E) : f.toContinuousLinearM
 #align linear_map.det_to_continuous_linear_map LinearMap.det_toContinuousLinearMap
 
 /- warning: linear_map.ker_to_continuous_linear_map -> LinearMap.ker_toContinuousLinearMap is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.ker_to_continuous_linear_map LinearMap.ker_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem ker_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : ker f.toContinuousLinearMap = ker f :=
@@ -412,10 +381,7 @@ theorem ker_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : ker f.toContinuousLi
 #align linear_map.ker_to_continuous_linear_map LinearMap.ker_toContinuousLinearMap
 
 /- warning: linear_map.range_to_continuous_linear_map -> LinearMap.range_toContinuousLinearMap is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u3} (Submodule.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (RingHomSurjective.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHomSurjective.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) f)
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u3} (Submodule.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (RingHomSurjective.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHomSurjective.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.range_to_continuous_linear_map LinearMap.range_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem range_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : range f.toContinuousLinearMap = range f :=
@@ -423,10 +389,7 @@ theorem range_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : range f.toContinuo
 #align linear_map.range_to_continuous_linear_map LinearMap.range_toContinuousLinearMap
 
 /- warning: linear_map.is_open_map_of_finite_dimensional -> LinearMap.isOpenMap_of_finiteDimensional is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2), (Function.Surjective.{succ u3, succ u2} F E (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (LinearMap.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ F E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)) -> (IsOpenMap.{u3, u2} F E _inst_8 _inst_3 (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (LinearMap.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ F E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f))
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2), (Function.Surjective.{succ u3, succ u2} F E (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)) -> (IsOpenMap.{u3, u2} F E _inst_8 _inst_3 (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.is_open_map_of_finite_dimensional LinearMap.isOpenMap_of_finiteDimensionalβ‚“'. -/
 /-- A surjective linear map `f` with finite dimensional codomain is an open map. -/
 theorem isOpenMap_of_finiteDimensional (f : F β†’β‚—[π•œ] E) (hf : Function.Surjective f) : IsOpenMap f :=
@@ -475,10 +438,7 @@ theorem coe_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : (e.toContinuousLine
 -/
 
 /- warning: linear_equiv.coe_to_continuous_linear_equiv' -> LinearEquiv.coe_to_continuous_linear_equiv' is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) e)
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} (forall (a : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)))) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => F) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ E F (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u1, u3} π•œ F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribSMul.toSMulZeroClass.{u1, u3} π•œ F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribMulAction.toDistribSMul.{u1, u3} π•œ F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ E F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} π•œ E F (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) e)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_to_continuous_linear_equiv'β‚“'. -/
 @[simp]
 theorem coe_to_continuous_linear_equiv' (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’ F) = e :=
@@ -494,10 +454,7 @@ theorem coe_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
 -/
 
 /- warning: linear_equiv.coe_to_continuous_linear_equiv_symm' -> LinearEquiv.coe_toContinuousLinearEquiv_symm' is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u3) (succ u2)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ F E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) e))
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} (forall (a : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F E _inst_8 _inst_3 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u2 u3, u1, u1, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2)))) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : F) => E) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ F E (SMulZeroClass.toSMul.{u1, u3} π•œ F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribSMul.toSMulZeroClass.{u1, u3} π•œ F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribMulAction.toDistribSMul.{u1, u3} π•œ F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ F E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u2, max u2 u3} π•œ F E (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u2, max u2 u3} π•œ π•œ F E (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) e))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_continuous_linear_equiv_symm' LinearEquiv.coe_toContinuousLinearEquiv_symm'β‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearEquiv_symm' (e : E ≃ₗ[π•œ] F) :
@@ -578,10 +535,7 @@ def constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : E β†’L[π•œ] F :=
 -/
 
 /- warning: basis.coe_constrL -> Basis.coe_constrL is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] {ΞΉ : Type.{u4}} [_inst_17 : Fintype.{u4} ΞΉ] [_inst_18 : T2Space.{u2} E _inst_3] (v : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (f : ΞΉ -> F), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (CoeTCβ‚“.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)))) (Basis.constrL.{u1, u2, u3, u4} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f)) (coeFn.{max (succ (max u4 u3)) (succ (max u2 u3)), max (succ (max u4 u3)) (succ (max u2 u3))} (LinearEquiv.{u1, u1, max u4 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u4, u3} ΞΉ (fun (αΎ° : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Pi.Function.module.{u4, u1, u3} ΞΉ π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7))))) (fun (_x : LinearEquiv.{u1, u1, max u4 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u4, u3} ΞΉ (fun (αΎ° : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Pi.Function.module.{u4, u1, u3} ΞΉ π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7))))) => (ΞΉ -> F) -> (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)) (LinearEquiv.hasCoeToFun.{u1, u1, max u4 u3, max u2 u3} π•œ π•œ (ΞΉ -> F) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Pi.addCommMonoid.{u4, u3} ΞΉ (fun (αΎ° : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Pi.Function.module.{u4, u1, u3} ΞΉ π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.constr.{u4, u1, u2, u3, u1} ΞΉ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7 v π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) f)
-but is expected to have type
-  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (ContinuousLinearMap.toLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), max (succ u1) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (ΞΉ -> F) (fun (_x : ΞΉ -> F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : ΞΉ -> F) => LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u4, u2, max u1 u4, max u3 u4} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (SMulZeroClass.toSMul.{u2, max u1 u4} π•œ (ΞΉ -> F) (AddMonoid.toZero.{max u1 u4} (ΞΉ -> F) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)))) (DistribSMul.toSMulZeroClass.{u2, max u1 u4} π•œ (ΞΉ -> F) (AddMonoid.toAddZeroClass.{max u1 u4} (ΞΉ -> F) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)))) (DistribMulAction.toDistribSMul.{u2, max u1 u4} π•œ (ΞΉ -> F) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6))) (Module.toDistribMulAction.{u2, max u1 u4} π•œ (ΞΉ -> F) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)))))) (SMulZeroClass.toSMul.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddMonoid.toZero.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddMonoid.toAddZeroClass.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Module.toDistribMulAction.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u4, u2, max u1 u4, max u3 u4} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6))) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Module.toDistribMulAction.{u2, max u1 u4} π•œ (ΞΉ -> F) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7))) (Module.toDistribMulAction.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u4, max u3 u4, max (max u3 u1) u4} π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u4, max u3 u4, max (max u3 u1) u4} π•œ π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u4, max u3 u4} π•œ π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.constr.{u1, u2, u3, u4, u2} ΞΉ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7 v π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align basis.coe_constrL Basis.coe_constrLβ‚“'. -/
 @[simp, norm_cast]
 theorem coe_constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : (v.constrL f : E β†’β‚—[π•œ] F) = v.constr π•œ f :=
@@ -604,10 +558,7 @@ def equivFunL (v : Basis ΞΉ π•œ E) : E ≃L[π•œ] ΞΉ β†’ π•œ :=
 -/
 
 /- warning: basis.constrL_apply -> Basis.constrL_apply is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] {ΞΉ : Type.{u4}} [_inst_17 : Fintype.{u4} ΞΉ] [_inst_18 : T2Space.{u2} E _inst_3] (v : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (f : ΞΉ -> F) (e : E), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Basis.constrL.{u1, u2, u3, u4} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) e) (Finset.sum.{u3, u4} F ΞΉ (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (Finset.univ.{u4} ΞΉ _inst_17) (fun (i : ΞΉ) => SMul.smul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (coeFn.{max (succ u2) (succ (max u4 u1)), max (succ u2) (succ (max u4 u1))} (LinearEquiv.{u1, u1, u2, max u4 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u4, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u4, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearEquiv.{u1, u1, u2, max u4 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u4, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u4, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => E -> ΞΉ -> π•œ) (LinearEquiv.hasCoeToFun.{u1, u1, u2, max u4 u1} π•œ π•œ E (ΞΉ -> π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u4, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u4, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.equivFun.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_17 v) e i) (f i)))
-but is expected to have type
-  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F) (e : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) e) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7))) (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) e) (Finset.sum.{u4, u1} F ΞΉ (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (Finset.univ.{u1} ΞΉ _inst_17) (fun (i : ΞΉ) => HSMul.hSMul.{u2, u4, u4} π•œ F F (instHSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u3, max (succ u2) (succ u1)} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => ΞΉ -> π•œ) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (SMulZeroClass.toSMul.{u2, u3} π•œ E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribSMul.toSMulZeroClass.{u2, u3} π•œ E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribMulAction.toDistribSMul.{u2, u3} π•œ E (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toZero.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toAddZeroClass.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, max u2 u1, max (max u2 u3) u1} π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, max u2 u1, max (max u2 u3) u1} π•œ π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, max u2 u1} π•œ π•œ E (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.equivFun.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 _inst_17 v) e i) (f i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align basis.constrL_apply Basis.constrL_applyβ‚“'. -/
 @[simp]
 theorem constrL_apply (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
@@ -616,10 +567,7 @@ theorem constrL_apply (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
 #align basis.constrL_apply Basis.constrL_apply
 
 /- warning: basis.constrL_basis -> Basis.constrL_basis is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] {ΞΉ : Type.{u4}} [_inst_17 : Fintype.{u4} ΞΉ] [_inst_18 : T2Space.{u2} E _inst_3] (v : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (f : ΞΉ -> F) (i : ΞΉ), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Basis.constrL.{u1, u2, u3, u4} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) (coeFn.{max (succ u4) (succ u1) (succ u2), max (succ u4) (succ u2)} (Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (fun (_x : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) => ΞΉ -> E) (FunLike.hasCoeToFun.{max (succ u4) (succ u1) (succ u2), succ u4, succ u2} (Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) ΞΉ (fun (_x : ΞΉ) => E) (Basis.funLike.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)) v i)) (f i)
-but is expected to have type
-  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F) (i : ΞΉ), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) ΞΉ (fun (a : ΞΉ) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ΞΉ) => E) a) (Basis.funLike.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) v i)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7))) (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) ΞΉ (fun (_x : ΞΉ) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ΞΉ) => E) _x) (Basis.funLike.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) v i)) (f i)
+<too large>
 Case conversion may be inaccurate. Consider using '#align basis.constrL_basis Basis.constrL_basisβ‚“'. -/
 @[simp]
 theorem constrL_basis (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (i : ΞΉ) : (v.constrL f) (v i) = f i :=
@@ -633,10 +581,7 @@ namespace ContinuousLinearMap
 variable [T2Space E] [FiniteDimensional π•œ E]
 
 /- warning: continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero -> ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), (Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (OfNat.mk.{u1} π•œ 0 (Zero.zero.{u1} π•œ (MulZeroClass.toHasZero.{u1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) -> (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), (Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (Zero.toOfNat0.{u1} π•œ (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) -> (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.toContinuousLinearEquivOfDetNeZeroβ‚“'. -/
 /-- Builds a continuous linear equivalence from a continuous linear map on a finite-dimensional
 vector space whose determinant is nonzero. -/
@@ -645,10 +590,7 @@ def toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) :
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero
 
 /- warning: continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero -> ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (hf : Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (OfNat.mk.{u1} π•œ 0 (Zero.zero.{u1} π•œ (MulZeroClass.toHasZero.{u1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (HasLiftT.mk.{succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (CoeTCβ‚“.coe.{succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (coeBase.{succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18 f hf)) f
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (hf : Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (Zero.toOfNat0.{u1} π•œ (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearEquiv.toContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18 f hf)) f
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZeroβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) :
@@ -659,10 +601,7 @@ theorem coe_toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det
 #align continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero
 
 /- warning: continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply -> ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (hf : Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (OfNat.mk.{u1} π•œ 0 (Zero.zero.{u1} π•œ (MulZeroClass.toHasZero.{u1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) (x : E), Eq.{succ u2} E (coeFn.{succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => E -> E) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18 f hf) x) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => E -> E) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) f x)
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (hf : Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (Zero.toOfNat0.{u1} π•œ (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (x : E), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) x) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) E E _inst_3 _inst_3 (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18 f hf) x) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) E E _inst_3 _inst_3 (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2))) f x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_applyβ‚“'. -/
 @[simp]
 theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.det β‰  0) (x : E) :
@@ -671,10 +610,7 @@ theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.de
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply
 
 /- warning: matrix.to_lin_fin_two_prod_to_continuous_linear_map -> Matrix.toLin_finTwoProd_toContinuousLinearMap is a dubious translation:
-lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) => (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (DivisionRing.toRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) -> (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (fun (_x : Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) => ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) -> (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Equiv.hasCoeToFun.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
-but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (a : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) a) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (a : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) a) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (DivisionRing.toDivisionSemiring.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (_x : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.to_lin_fin_two_prod_to_continuous_linear_map Matrix.toLin_finTwoProd_toContinuousLinearMapβ‚“'. -/
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
     (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ) !![a, b; c, d]).toContinuousLinearMap =
Diff
@@ -672,9 +672,9 @@ theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.de
 
 /- warning: matrix.to_lin_fin_two_prod_to_continuous_linear_map -> Matrix.toLin_finTwoProd_toContinuousLinearMap is a dubious translation:
 lean 3 declaration is
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) => (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (DivisionRing.toRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) -> (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (fun (_x : Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) => ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) -> (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Equiv.hasCoeToFun.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) => (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (DivisionRing.toRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) -> (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (fun (_x : Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) => ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) -> (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Equiv.hasCoeToFun.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (a : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) a) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (a : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) a) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (DivisionRing.toDivisionSemiring.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (_x : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (a : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) a) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (a : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) a) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (DivisionRing.toDivisionSemiring.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (_x : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.to_lin_fin_two_prod_to_continuous_linear_map Matrix.toLin_finTwoProd_toContinuousLinearMapβ‚“'. -/
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
     (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ) !![a, b; c, d]).toContinuousLinearMap =
Diff
@@ -149,7 +149,7 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), (IsClosed.{u2} E _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (CoeTCβ‚“.coe.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (LinearMap.ker.{u1, u1, u2, u1, max u2 u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), (IsClosed.{u2} E _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u1, max u1 u2} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), (IsClosed.{u2} E _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u1, max u1 u2} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
 Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_is_closed_ker LinearMap.continuous_of_isClosed_kerβ‚“'. -/
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     its kernel is closed. -/
@@ -203,7 +203,7 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsC
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), Iff (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)) (IsClosed.{u2} E _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (CoeTCβ‚“.coe.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (LinearMap.ker.{u1, u1, u2, u1, max u2 u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)))
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), Iff (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)) (IsClosed.{u2} E _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u1, max u1 u2} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)))
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), Iff (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)) (IsClosed.{u2} E _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u1, max u1 u2} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)))
 Case conversion may be inaccurate. Consider using '#align linear_map.continuous_iff_is_closed_ker LinearMap.continuous_iff_isClosed_kerβ‚“'. -/
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     and only if its kernel is closed. -/
@@ -216,7 +216,7 @@ theorem LinearMap.continuous_iff_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) :
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (s : Set.{u2} E), (IsOpen.{u2} E _inst_3 s) -> (Set.Nonempty.{u2} E s) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u1} π•œ (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l x) (OfNat.ofNat.{u1} π•œ 0 (OfNat.mk.{u1} π•œ 0 (Zero.zero.{u1} π•œ (MulZeroClass.toHasZero.{u1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (s : Set.{u2} E), (IsOpen.{u2} E _inst_3 s) -> (Set.Nonempty.{u2} E s) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l x) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (CommGroupWithZero.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (Semifield.toCommGroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (NontriviallyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) hnorm)))))))))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (s : Set.{u2} E), (IsOpen.{u2} E _inst_3 s) -> (Set.Nonempty.{u2} E s) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l x) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (CommGroupWithZero.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (Semifield.toCommGroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) (NontriviallyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) x) hnorm)))))))))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
 Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_nonzero_on_open LinearMap.continuous_of_nonzero_on_openβ‚“'. -/
 /-- Over a nontrivially normed field, any linear form which is nonzero on a nonempty open set is
     automatically continuous. -/
@@ -292,7 +292,7 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Continuous.{u2, u3} E F' _inst_3 _inst_13 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => E -> F') (LinearMap.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Continuous.{u2, u3} E F' _inst_3 _inst_13 (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F') _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Continuous.{u2, u3} E F' _inst_3 _inst_13 (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F') _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
 Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_finite_dimensional LinearMap.continuous_of_finiteDimensionalβ‚“'. -/
 /-- Any linear map on a finite dimensional space over a complete field is continuous. -/
 theorem LinearMap.continuous_of_finiteDimensional [T2Space E] [FiniteDimensional π•œ E]
@@ -325,7 +325,7 @@ instance LinearMap.continuousLinearMapClassOfFiniteDimensional [T2Space E] [Fini
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] {ΞΉ : Type.{u3}} [_inst_18 : Fintype.{u3} ΞΉ] (ΞΎ : Basis.{u3, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2), Continuous.{u2, max u3 u1} E (ΞΉ -> π•œ) _inst_3 (Pi.topologicalSpace.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (a : ΞΉ) => UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (coeFn.{max (succ u2) (succ (max u3 u1)), max (succ u2) (succ (max u3 u1))} (LinearEquiv.{u1, u1, u2, max u3 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u3, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearEquiv.{u1, u1, u2, max u3 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u3, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => E -> ΞΉ -> π•œ) (LinearEquiv.hasCoeToFun.{u1, u1, u2, max u3 u1} π•œ π•œ E (ΞΉ -> π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u3, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.equivFun.{u3, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_18 ΞΎ))
 but is expected to have type
-  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] [_inst_17 : T2Space.{u3} E _inst_3] {ΞΉ : Type.{u1}} [_inst_18 : Fintype.{u1} ΞΉ] (ΞΎ : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2), Continuous.{u3, max u2 u1} E (ΞΉ -> π•œ) _inst_3 (Pi.topologicalSpace.{u1, u2} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (a : ΞΉ) => UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u3, max (succ u2) (succ u1)} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : E) => ΞΉ -> π•œ) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (SMulZeroClass.toSMul.{u2, u3} π•œ E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribSMul.toSMulZeroClass.{u2, u3} π•œ E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribMulAction.toDistribSMul.{u2, u3} π•œ E (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toZero.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toAddZeroClass.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, max u2 u1, max (max u2 u3) u1} π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, max u2 u1, max (max u2 u3) u1} π•œ π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, max u2 u1} π•œ π•œ E (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.equivFun.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 _inst_18 ΞΎ))
+  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] [_inst_17 : T2Space.{u3} E _inst_3] {ΞΉ : Type.{u1}} [_inst_18 : Fintype.{u1} ΞΉ] (ΞΎ : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2), Continuous.{u3, max u2 u1} E (ΞΉ -> π•œ) _inst_3 (Pi.topologicalSpace.{u1, u2} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (a : ΞΉ) => UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u3, max (succ u2) (succ u1)} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => ΞΉ -> π•œ) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (SMulZeroClass.toSMul.{u2, u3} π•œ E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribSMul.toSMulZeroClass.{u2, u3} π•œ E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribMulAction.toDistribSMul.{u2, u3} π•œ E (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toZero.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toAddZeroClass.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, max u2 u1, max (max u2 u3) u1} π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, max u2 u1, max (max u2 u3) u1} π•œ π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, max u2 u1} π•œ π•œ E (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.equivFun.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 _inst_18 ΞΎ))
 Case conversion may be inaccurate. Consider using '#align continuous_equiv_fun_basis continuous_equivFun_basisβ‚“'. -/
 /-- In finite dimensions over a non-discrete complete normed field, the canonical identification
 (in terms of a basis) with `π•œ^n` (endowed with the product topology) is continuous.
@@ -359,7 +359,7 @@ def toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F'
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (E -> F') (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => E -> F') (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => E -> F') (LinearMap.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (forall (αΎ° : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F') αΎ°) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F') _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) E F' _inst_3 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12))) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F') _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (forall (αΎ° : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F') αΎ°) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F') _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) E F' _inst_3 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12))) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F') _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map' LinearMap.coe_to_continuous_linear_map'β‚“'. -/
 @[simp]
 theorem coe_to_continuous_linear_map' (f : E β†’β‚—[π•œ] F') : ⇑f.toContinuousLinearMap = f :=
@@ -370,7 +370,7 @@ theorem coe_to_continuous_linear_map' (f : E β†’β‚—[π•œ] F') : ⇑f.toContinuou
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (CoeTCβ‚“.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)))) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) f
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) f
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) f
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map LinearMap.coe_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : (f.toContinuousLinearMap : E β†’β‚—[π•œ] F') = f :=
@@ -381,7 +381,7 @@ theorem coe_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : (f.toContinuousLinea
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2], Eq.{succ (max u2 u3)} ((ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12))) => (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm)) (LinearEquiv.symm.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (CoeTCβ‚“.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)))))
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2], Eq.{max (succ u2) (succ u3)} (forall (αΎ° : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) αΎ°) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, max u2 u3, max u2 u3} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (SMulZeroClass.toSMul.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, max u2 u3, max u2 u3} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u2 u3, max u2 u3, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u2 u3, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearEquiv.symm.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18))) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2], Eq.{max (succ u2) (succ u3)} (forall (αΎ° : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) αΎ°) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, max u2 u3, max u2 u3} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (SMulZeroClass.toSMul.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, max u2 u3, max u2 u3} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u2 u3, max u2 u3, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u2 u3, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearEquiv.symm.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18))) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map_symm LinearMap.coe_toContinuousLinearMap_symmβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearMap_symm :
@@ -393,7 +393,7 @@ theorem coe_toContinuousLinearMap_symm :
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4))) (fun (_x : LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4))) => (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) -> (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) -> π•œ) (MonoidHom.hasCoeToFun.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (FunLike.coe.{succ u2, succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) _x) (SMulHomClass.toFunLike.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (SMulZeroClass.toSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => π•œ) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulOneClass.toMul.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (MulOneClass.toMul.{u1} π•œ (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MonoidHomClass.toMulHomClass.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MonoidHom.monoidHomClass.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (FunLike.coe.{succ u2, succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) _x) (SMulHomClass.toFunLike.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (SMulZeroClass.toSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => π•œ) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulOneClass.toMul.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (MulOneClass.toMul.{u1} π•œ (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MonoidHomClass.toMulHomClass.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MonoidHom.monoidHomClass.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
 Case conversion may be inaccurate. Consider using '#align linear_map.det_to_continuous_linear_map LinearMap.det_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem det_toContinuousLinearMap (f : E β†’β‚—[π•œ] E) : f.toContinuousLinearMap.det = f.det :=
@@ -404,7 +404,7 @@ theorem det_toContinuousLinearMap (f : E β†’β‚—[π•œ] E) : f.toContinuousLinearM
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
 Case conversion may be inaccurate. Consider using '#align linear_map.ker_to_continuous_linear_map LinearMap.ker_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem ker_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : ker f.toContinuousLinearMap = ker f :=
@@ -415,7 +415,7 @@ theorem ker_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : ker f.toContinuousLi
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u3} (Submodule.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (RingHomSurjective.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHomSurjective.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) f)
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u3} (Submodule.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (RingHomSurjective.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHomSurjective.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) f)
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u3} (Submodule.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (RingHomSurjective.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHomSurjective.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) f)
 Case conversion may be inaccurate. Consider using '#align linear_map.range_to_continuous_linear_map LinearMap.range_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem range_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : range f.toContinuousLinearMap = range f :=
@@ -426,7 +426,7 @@ theorem range_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : range f.toContinuo
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2), (Function.Surjective.{succ u3, succ u2} F E (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (LinearMap.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ F E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)) -> (IsOpenMap.{u3, u2} F E _inst_8 _inst_3 (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (LinearMap.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ F E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f))
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2), (Function.Surjective.{succ u3, succ u2} F E (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)) -> (IsOpenMap.{u3, u2} F E _inst_8 _inst_3 (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f))
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2), (Function.Surjective.{succ u3, succ u2} F E (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)) -> (IsOpenMap.{u3, u2} F E _inst_8 _inst_3 (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f))
 Case conversion may be inaccurate. Consider using '#align linear_map.is_open_map_of_finite_dimensional LinearMap.isOpenMap_of_finiteDimensionalβ‚“'. -/
 /-- A surjective linear map `f` with finite dimensional codomain is an open map. -/
 theorem isOpenMap_of_finiteDimensional (f : F β†’β‚—[π•œ] E) (hf : Function.Surjective f) : IsOpenMap f :=
@@ -478,7 +478,7 @@ theorem coe_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : (e.toContinuousLine
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) e)
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} (forall (a : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)))) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : E) => F) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ E F (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u1, u3} π•œ F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribSMul.toSMulZeroClass.{u1, u3} π•œ F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribMulAction.toDistribSMul.{u1, u3} π•œ F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ E F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} π•œ E F (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) e)
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} (forall (a : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)))) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => F) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ E F (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u1, u3} π•œ F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribSMul.toSMulZeroClass.{u1, u3} π•œ F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribMulAction.toDistribSMul.{u1, u3} π•œ F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ E F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} π•œ E F (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_to_continuous_linear_equiv'β‚“'. -/
 @[simp]
 theorem coe_to_continuous_linear_equiv' (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’ F) = e :=
@@ -497,7 +497,7 @@ theorem coe_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u3) (succ u2)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ F E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) e))
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} (forall (a : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F E _inst_8 _inst_3 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u2 u3, u1, u1, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2)))) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : F) => E) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ F E (SMulZeroClass.toSMul.{u1, u3} π•œ F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribSMul.toSMulZeroClass.{u1, u3} π•œ F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribMulAction.toDistribSMul.{u1, u3} π•œ F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ F E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u2, max u2 u3} π•œ F E (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u2, max u2 u3} π•œ π•œ F E (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) e))
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} (forall (a : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F E _inst_8 _inst_3 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u2 u3, u1, u1, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2)))) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : F) => E) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ F E (SMulZeroClass.toSMul.{u1, u3} π•œ F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribSMul.toSMulZeroClass.{u1, u3} π•œ F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribMulAction.toDistribSMul.{u1, u3} π•œ F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ F E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u2, max u2 u3} π•œ F E (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u2, max u2 u3} π•œ π•œ F E (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) e))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_continuous_linear_equiv_symm' LinearEquiv.coe_toContinuousLinearEquiv_symm'β‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearEquiv_symm' (e : E ≃ₗ[π•œ] F) :
@@ -581,7 +581,7 @@ def constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : E β†’L[π•œ] F :=
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] {ΞΉ : Type.{u4}} [_inst_17 : Fintype.{u4} ΞΉ] [_inst_18 : T2Space.{u2} E _inst_3] (v : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (f : ΞΉ -> F), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (CoeTCβ‚“.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)))) (Basis.constrL.{u1, u2, u3, u4} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f)) (coeFn.{max (succ (max u4 u3)) (succ (max u2 u3)), max (succ (max u4 u3)) (succ (max u2 u3))} (LinearEquiv.{u1, u1, max u4 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u4, u3} ΞΉ (fun (αΎ° : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Pi.Function.module.{u4, u1, u3} ΞΉ π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7))))) (fun (_x : LinearEquiv.{u1, u1, max u4 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u4, u3} ΞΉ (fun (αΎ° : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Pi.Function.module.{u4, u1, u3} ΞΉ π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7))))) => (ΞΉ -> F) -> (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)) (LinearEquiv.hasCoeToFun.{u1, u1, max u4 u3, max u2 u3} π•œ π•œ (ΞΉ -> F) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Pi.addCommMonoid.{u4, u3} ΞΉ (fun (αΎ° : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Pi.Function.module.{u4, u1, u3} ΞΉ π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.constr.{u4, u1, u2, u3, u1} ΞΉ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7 v π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) f)
 but is expected to have type
-  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (ContinuousLinearMap.toLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), max (succ u1) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (ΞΉ -> F) (fun (_x : ΞΉ -> F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : ΞΉ -> F) => LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u4, u2, max u1 u4, max u3 u4} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (SMulZeroClass.toSMul.{u2, max u1 u4} π•œ (ΞΉ -> F) (AddMonoid.toZero.{max u1 u4} (ΞΉ -> F) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)))) (DistribSMul.toSMulZeroClass.{u2, max u1 u4} π•œ (ΞΉ -> F) (AddMonoid.toAddZeroClass.{max u1 u4} (ΞΉ -> F) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)))) (DistribMulAction.toDistribSMul.{u2, max u1 u4} π•œ (ΞΉ -> F) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6))) (Module.toDistribMulAction.{u2, max u1 u4} π•œ (ΞΉ -> F) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)))))) (SMulZeroClass.toSMul.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddMonoid.toZero.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddMonoid.toAddZeroClass.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Module.toDistribMulAction.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u4, u2, max u1 u4, max u3 u4} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6))) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Module.toDistribMulAction.{u2, max u1 u4} π•œ (ΞΉ -> F) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7))) (Module.toDistribMulAction.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u4, max u3 u4, max (max u3 u1) u4} π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u4, max u3 u4, max (max u3 u1) u4} π•œ π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u4, max u3 u4} π•œ π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.constr.{u1, u2, u3, u4, u2} ΞΉ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7 v π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) f)
+  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (ContinuousLinearMap.toLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), max (succ u1) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (ΞΉ -> F) (fun (_x : ΞΉ -> F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : ΞΉ -> F) => LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u4, u2, max u1 u4, max u3 u4} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (SMulZeroClass.toSMul.{u2, max u1 u4} π•œ (ΞΉ -> F) (AddMonoid.toZero.{max u1 u4} (ΞΉ -> F) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)))) (DistribSMul.toSMulZeroClass.{u2, max u1 u4} π•œ (ΞΉ -> F) (AddMonoid.toAddZeroClass.{max u1 u4} (ΞΉ -> F) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)))) (DistribMulAction.toDistribSMul.{u2, max u1 u4} π•œ (ΞΉ -> F) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6))) (Module.toDistribMulAction.{u2, max u1 u4} π•œ (ΞΉ -> F) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)))))) (SMulZeroClass.toSMul.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddMonoid.toZero.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddMonoid.toAddZeroClass.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Module.toDistribMulAction.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u4, u2, max u1 u4, max u3 u4} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6))) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Module.toDistribMulAction.{u2, max u1 u4} π•œ (ΞΉ -> F) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7))) (Module.toDistribMulAction.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u4, max u3 u4, max (max u3 u1) u4} π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u4, max u3 u4, max (max u3 u1) u4} π•œ π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u4, max u3 u4} π•œ π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.constr.{u1, u2, u3, u4, u2} ΞΉ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7 v π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) f)
 Case conversion may be inaccurate. Consider using '#align basis.coe_constrL Basis.coe_constrLβ‚“'. -/
 @[simp, norm_cast]
 theorem coe_constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : (v.constrL f : E β†’β‚—[π•œ] F) = v.constr π•œ f :=
@@ -607,7 +607,7 @@ def equivFunL (v : Basis ΞΉ π•œ E) : E ≃L[π•œ] ΞΉ β†’ π•œ :=
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] {ΞΉ : Type.{u4}} [_inst_17 : Fintype.{u4} ΞΉ] [_inst_18 : T2Space.{u2} E _inst_3] (v : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (f : ΞΉ -> F) (e : E), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Basis.constrL.{u1, u2, u3, u4} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) e) (Finset.sum.{u3, u4} F ΞΉ (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (Finset.univ.{u4} ΞΉ _inst_17) (fun (i : ΞΉ) => SMul.smul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (coeFn.{max (succ u2) (succ (max u4 u1)), max (succ u2) (succ (max u4 u1))} (LinearEquiv.{u1, u1, u2, max u4 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u4, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u4, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearEquiv.{u1, u1, u2, max u4 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u4, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u4, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => E -> ΞΉ -> π•œ) (LinearEquiv.hasCoeToFun.{u1, u1, u2, max u4 u1} π•œ π•œ E (ΞΉ -> π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u4, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u4, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.equivFun.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_17 v) e i) (f i)))
 but is expected to have type
-  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F) (e : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) e) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7))) (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) e) (Finset.sum.{u4, u1} F ΞΉ (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (Finset.univ.{u1} ΞΉ _inst_17) (fun (i : ΞΉ) => HSMul.hSMul.{u2, u4, u4} π•œ F F (instHSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u3, max (succ u2) (succ u1)} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : E) => ΞΉ -> π•œ) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (SMulZeroClass.toSMul.{u2, u3} π•œ E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribSMul.toSMulZeroClass.{u2, u3} π•œ E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribMulAction.toDistribSMul.{u2, u3} π•œ E (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toZero.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toAddZeroClass.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, max u2 u1, max (max u2 u3) u1} π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, max u2 u1, max (max u2 u3) u1} π•œ π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, max u2 u1} π•œ π•œ E (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.equivFun.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 _inst_17 v) e i) (f i)))
+  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F) (e : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) e) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7))) (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) e) (Finset.sum.{u4, u1} F ΞΉ (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (Finset.univ.{u1} ΞΉ _inst_17) (fun (i : ΞΉ) => HSMul.hSMul.{u2, u4, u4} π•œ F F (instHSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u3, max (succ u2) (succ u1)} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E) => ΞΉ -> π•œ) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (SMulZeroClass.toSMul.{u2, u3} π•œ E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribSMul.toSMulZeroClass.{u2, u3} π•œ E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribMulAction.toDistribSMul.{u2, u3} π•œ E (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toZero.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toAddZeroClass.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, max u2 u1, max (max u2 u3) u1} π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, max u2 u1, max (max u2 u3) u1} π•œ π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, max u2 u1} π•œ π•œ E (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.equivFun.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 _inst_17 v) e i) (f i)))
 Case conversion may be inaccurate. Consider using '#align basis.constrL_apply Basis.constrL_applyβ‚“'. -/
 @[simp]
 theorem constrL_apply (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
@@ -674,7 +674,7 @@ theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.de
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) => (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (DivisionRing.toRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) -> (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (fun (_x : Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) => ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) -> (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Equiv.hasCoeToFun.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (a : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) a) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (a : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) a) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (DivisionRing.toDivisionSemiring.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (_x : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (a : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) a) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (a : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) a) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (DivisionRing.toDivisionSemiring.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (_x : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.to_lin_fin_two_prod_to_continuous_linear_map Matrix.toLin_finTwoProd_toContinuousLinearMapβ‚“'. -/
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
     (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ) !![a, b; c, d]).toContinuousLinearMap =
Diff
@@ -393,7 +393,7 @@ theorem coe_toContinuousLinearMap_symm :
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4))) (fun (_x : LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4))) => (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) -> (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) -> π•œ) (MonoidHom.hasCoeToFun.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (FunLike.coe.{succ u2, succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) _x) (SMulHomClass.toFunLike.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (SMulZeroClass.toSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => π•œ) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulOneClass.toMul.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (MulOneClass.toMul.{u1} π•œ (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MonoidHomClass.toMulHomClass.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MonoidHom.monoidHomClass.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (FunLike.coe.{succ u2, succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) _x) (SMulHomClass.toFunLike.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (SMulZeroClass.toSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => π•œ) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulOneClass.toMul.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (MulOneClass.toMul.{u1} π•œ (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MonoidHomClass.toMulHomClass.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MonoidHom.monoidHomClass.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
 Case conversion may be inaccurate. Consider using '#align linear_map.det_to_continuous_linear_map LinearMap.det_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem det_toContinuousLinearMap (f : E β†’β‚—[π•œ] E) : f.toContinuousLinearMap.det = f.det :=
@@ -674,7 +674,7 @@ theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.de
 lean 3 declaration is
   forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) => (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (DivisionRing.toRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) -> (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (fun (_x : Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) => ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) -> (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Equiv.hasCoeToFun.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
 but is expected to have type
-  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (a : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) a) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (a : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) a) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (DivisionRing.toDivisionSemiring.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (_x : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (a : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) a) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (a : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) a) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (DivisionRing.toDivisionSemiring.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (_x : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.to_lin_fin_two_prod_to_continuous_linear_map Matrix.toLin_finTwoProd_toContinuousLinearMapβ‚“'. -/
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
     (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ) !![a, b; c, d]).toContinuousLinearMap =
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: SΓ©bastien GouΓ«zel, Anatole Dedecker
 
 ! This file was ported from Lean 3 source module topology.algebra.module.finite_dimension
-! leanprover-community/mathlib commit 9425b6f8220e53b059f5a4904786c3c4b50fc057
+! leanprover-community/mathlib commit 50251fd6309cca5ca2e747882ffecd2729f38c5d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.Topology.Algebra.Module.Determinant
 /-!
 # Finite dimensional topological vector spaces over complete fields
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Let `π•œ` be a complete nontrivially normed field, and `E` a topological vector space (TVS) over
 `π•œ` (i.e we have `[add_comm_group E] [module π•œ E] [topological_space E] [topological_add_group E]`
 and `[has_continuous_smul π•œ E]`).
Diff
@@ -78,6 +78,12 @@ variable {π•œ : Type u} [hnorm : NontriviallyNormedField π•œ] {E : Type v} [Ad
 
 include hnorm
 
+/- warning: unique_topology_of_t2 -> unique_topology_of_t2 is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {t : TopologicalSpace.{u1} π•œ}, (TopologicalAddGroup.{u1} π•œ t (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousSMul.{u1, u1} π•œ π•œ (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (MetricSpace.toPseudoMetricSpace.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) t) -> (T2Space.{u1} π•œ t) -> (Eq.{succ u1} (TopologicalSpace.{u1} π•œ) t (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (MetricSpace.toPseudoMetricSpace.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {t : TopologicalSpace.{u1} π•œ}, (TopologicalAddGroup.{u1} π•œ t (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousSMul.{u1, u1} π•œ π•œ (Algebra.toSMul.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NormedAlgebra.toAlgebra.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedAlgebra.id.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (MetricSpace.toPseudoMetricSpace.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) t) -> (T2Space.{u1} π•œ t) -> (Eq.{succ u1} (TopologicalSpace.{u1} π•œ) t (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (MetricSpace.toPseudoMetricSpace.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))
+Case conversion may be inaccurate. Consider using '#align unique_topology_of_t2 unique_topology_of_t2β‚“'. -/
 /-- If `π•œ` is a nontrivially normed field, any T2 topology on `π•œ` which makes it a topological
 vector space over itself (with the norm topology) is *equal* to the norm topology. -/
 theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAddGroup π•œ t _)
@@ -136,6 +142,12 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
       
 #align unique_topology_of_t2 unique_topology_of_t2
 
+/- warning: linear_map.continuous_of_is_closed_ker -> LinearMap.continuous_of_isClosed_ker is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), (IsClosed.{u2} E _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (CoeTCβ‚“.coe.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (LinearMap.ker.{u1, u1, u2, u1, max u2 u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), (IsClosed.{u2} E _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u1, max u1 u2} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
+Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_is_closed_ker LinearMap.continuous_of_isClosed_kerβ‚“'. -/
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     its kernel is closed. -/
 theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsClosed (l.ker : Set E)) :
@@ -184,6 +196,12 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsC
     exact continuous_coinduced_rng
 #align linear_map.continuous_of_is_closed_ker LinearMap.continuous_of_isClosed_ker
 
+/- warning: linear_map.continuous_iff_is_closed_ker -> LinearMap.continuous_iff_isClosed_ker is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), Iff (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)) (IsClosed.{u2} E _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (CoeTCβ‚“.coe.{succ u2, succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (LinearMap.ker.{u1, u1, u2, u1, max u2 u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)))
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))), Iff (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)) (IsClosed.{u2} E _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) E (Submodule.setLike.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u1, max u1 u2} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (LinearMap.semilinearMapClass.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l)))
+Case conversion may be inaccurate. Consider using '#align linear_map.continuous_iff_is_closed_ker LinearMap.continuous_iff_isClosed_kerβ‚“'. -/
 /-- Any linear form on a topological vector space over a nontrivially normed field is continuous if
     and only if its kernel is closed. -/
 theorem LinearMap.continuous_iff_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) :
@@ -191,6 +209,12 @@ theorem LinearMap.continuous_iff_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) :
   ⟨fun h => isClosed_singleton.Preimage h, l.continuous_of_isClosed_ker⟩
 #align linear_map.continuous_iff_is_closed_ker LinearMap.continuous_iff_isClosed_ker
 
+/- warning: linear_map.continuous_of_nonzero_on_open -> LinearMap.continuous_of_nonzero_on_open is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (s : Set.{u2} E), (IsOpen.{u2} E _inst_3 s) -> (Set.Nonempty.{u2} E s) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u1} π•œ (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l x) (OfNat.ofNat.{u1} π•œ 0 (OfNat.mk.{u1} π•œ 0 (Zero.zero.{u1} π•œ (MulZeroClass.toHasZero.{u1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (fun (_x : LinearMap.{u1, u1, u2, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) => E -> π•œ) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} π•œ π•œ E π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] (l : LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (s : Set.{u2} E), (IsOpen.{u2} E _inst_3 s) -> (Set.Nonempty.{u2} E s) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l x) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (CommGroupWithZero.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (Semifield.toCommGroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) (NontriviallyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) x) hnorm)))))))))) -> (Continuous.{u2, u1} E π•œ _inst_3 (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E π•œ (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => π•œ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} π•œ π•œ E π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_2 (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) l))
+Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_nonzero_on_open LinearMap.continuous_of_nonzero_on_openβ‚“'. -/
 /-- Over a nontrivially normed field, any linear form which is nonzero on a nonempty open set is
     automatically continuous. -/
 theorem LinearMap.continuous_of_nonzero_on_open (l : E β†’β‚—[π•œ] π•œ) (s : Set E) (hs₁ : IsOpen s)
@@ -261,6 +285,12 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
     exact Hβ‚‚ (ΞΎ.coord i)
 #align continuous_equiv_fun_basis_aux continuous_equiv_fun_basis_aux
 
+/- warning: linear_map.continuous_of_finite_dimensional -> LinearMap.continuous_of_finiteDimensional is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Continuous.{u2, u3} E F' _inst_3 _inst_13 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => E -> F') (LinearMap.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Continuous.{u2, u3} E F' _inst_3 _inst_13 (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F') _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+Case conversion may be inaccurate. Consider using '#align linear_map.continuous_of_finite_dimensional LinearMap.continuous_of_finiteDimensionalβ‚“'. -/
 /-- Any linear map on a finite dimensional space over a complete field is continuous. -/
 theorem LinearMap.continuous_of_finiteDimensional [T2Space E] [FiniteDimensional π•œ E]
     (f : E β†’β‚—[π•œ] F') : Continuous f :=
@@ -281,11 +311,19 @@ theorem LinearMap.continuous_of_finiteDimensional [T2Space E] [FiniteDimensional
   rw [Basis.equivFun_symm_apply, Basis.sum_repr]
 #align linear_map.continuous_of_finite_dimensional LinearMap.continuous_of_finiteDimensional
 
+#print LinearMap.continuousLinearMapClassOfFiniteDimensional /-
 instance LinearMap.continuousLinearMapClassOfFiniteDimensional [T2Space E] [FiniteDimensional π•œ E] :
     ContinuousLinearMapClass (E β†’β‚—[π•œ] F') π•œ E F' :=
   { LinearMap.semilinearMapClass with map_continuous := fun f => f.continuous_of_finiteDimensional }
 #align linear_map.continuous_linear_map_class_of_finite_dimensional LinearMap.continuousLinearMapClassOfFiniteDimensional
+-/
 
+/- warning: continuous_equiv_fun_basis -> continuous_equivFun_basis is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] {ΞΉ : Type.{u3}} [_inst_18 : Fintype.{u3} ΞΉ] (ΞΎ : Basis.{u3, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2), Continuous.{u2, max u3 u1} E (ΞΉ -> π•œ) _inst_3 (Pi.topologicalSpace.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (a : ΞΉ) => UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (coeFn.{max (succ u2) (succ (max u3 u1)), max (succ u2) (succ (max u3 u1))} (LinearEquiv.{u1, u1, u2, max u3 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u3, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearEquiv.{u1, u1, u2, max u3 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u3, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => E -> ΞΉ -> π•œ) (LinearEquiv.hasCoeToFun.{u1, u1, u2, max u3 u1} π•œ π•œ E (ΞΉ -> π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u3, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u3, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.equivFun.{u3, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_18 ΞΎ))
+but is expected to have type
+  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] [_inst_17 : T2Space.{u3} E _inst_3] {ΞΉ : Type.{u1}} [_inst_18 : Fintype.{u1} ΞΉ] (ΞΎ : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2), Continuous.{u3, max u2 u1} E (ΞΉ -> π•œ) _inst_3 (Pi.topologicalSpace.{u1, u2} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (a : ΞΉ) => UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u3, max (succ u2) (succ u1)} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : E) => ΞΉ -> π•œ) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (SMulZeroClass.toSMul.{u2, u3} π•œ E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribSMul.toSMulZeroClass.{u2, u3} π•œ E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribMulAction.toDistribSMul.{u2, u3} π•œ E (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toZero.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toAddZeroClass.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, max u2 u1, max (max u2 u3) u1} π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, max u2 u1, max (max u2 u3) u1} π•œ π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, max u2 u1} π•œ π•œ E (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.equivFun.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 _inst_18 ΞΎ))
+Case conversion may be inaccurate. Consider using '#align continuous_equiv_fun_basis continuous_equivFun_basisβ‚“'. -/
 /-- In finite dimensions over a non-discrete complete normed field, the canonical identification
 (in terms of a basis) with `π•œ^n` (endowed with the product topology) is continuous.
 This is the key fact wich makes all linear maps from a T2 finite dimensional TVS over such a field
@@ -301,6 +339,7 @@ namespace LinearMap
 
 variable [T2Space E] [FiniteDimensional π•œ E]
 
+#print LinearMap.toContinuousLinearMap /-
 /-- The continuous linear map induced by a linear map on a finite dimensional space -/
 def toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F'
     where
@@ -311,38 +350,81 @@ def toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F'
   left_inv f := rfl
   right_inv f := ContinuousLinearMap.coe_injective rfl
 #align linear_map.to_continuous_linear_map LinearMap.toContinuousLinearMap
+-/
 
+/- warning: linear_map.coe_to_continuous_linear_map' -> LinearMap.coe_to_continuous_linear_map' is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (E -> F') (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => E -> F') (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => E -> F') (LinearMap.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (forall (αΎ° : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F') αΎ°) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F') _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) E F' _inst_3 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12))) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F') _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map' LinearMap.coe_to_continuous_linear_map'β‚“'. -/
 @[simp]
 theorem coe_to_continuous_linear_map' (f : E β†’β‚—[π•œ] F') : ⇑f.toContinuousLinearMap = f :=
   rfl
 #align linear_map.coe_to_continuous_linear_map' LinearMap.coe_to_continuous_linear_map'
 
+/- warning: linear_map.coe_to_continuous_linear_map -> LinearMap.coe_toContinuousLinearMap is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (CoeTCβ‚“.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)))) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) f
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) f
+Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map LinearMap.coe_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : (f.toContinuousLinearMap : E β†’β‚—[π•œ] F') = f :=
   rfl
 #align linear_map.coe_to_continuous_linear_map LinearMap.coe_toContinuousLinearMap
 
+/- warning: linear_map.coe_to_continuous_linear_map_symm -> LinearMap.coe_toContinuousLinearMap_symm is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2], Eq.{succ (max u2 u3)} ((ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12))) => (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm)) (LinearEquiv.symm.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (CoeTCβ‚“.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)))))
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2], Eq.{max (succ u2) (succ u3)} (forall (αΎ° : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) αΎ°) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, max u2 u3, max u2 u3} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (SMulZeroClass.toSMul.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, max u2 u3, max u2 u3} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (AddCommMonoid.toAddMonoid.{max u2 u3} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u2 u3} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u2 u3, max u2 u3, max u2 u3} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u2 u3, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearEquiv.symm.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18))) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)
+Case conversion may be inaccurate. Consider using '#align linear_map.coe_to_continuous_linear_map_symm LinearMap.coe_toContinuousLinearMap_symmβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearMap_symm :
     ⇑(toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F').symm = coe :=
   rfl
 #align linear_map.coe_to_continuous_linear_map_symm LinearMap.coe_toContinuousLinearMap_symm
 
+/- warning: linear_map.det_to_continuous_linear_map -> LinearMap.det_toContinuousLinearMap is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4))) (fun (_x : LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4))) => (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) -> (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_3.{u2} E _inst_1 _inst_3 _inst_4)) (LinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (LinearMap.toContinuousLinearMap._proof_4.{u1, u2} π•œ hnorm E _inst_1 _inst_2)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (LinearMap.toContinuousLinearMap._proof_5.{u1, u2} π•œ hnorm E _inst_1 _inst_2) (LinearMap.toContinuousLinearMap._proof_6.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u2} E _inst_1 _inst_3 _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) -> π•œ) (MonoidHom.hasCoeToFun.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocRing.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Ring.toNonAssocRing.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.ring.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) _inst_1 _inst_2))))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (NonAssocRing.toNonAssocSemiring.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (CommRing.toRing.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), Eq.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 (FunLike.coe.{succ u2, succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) _x) (SMulHomClass.toFunLike.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (SMulZeroClass.toSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u1, u2, u2} (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (Module.toDistribMulAction.{u1, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (Module.toDistribMulAction.{u1, u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (LinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} π•œ π•œ π•œ E E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (smulCommClass_self.{u1, u2} π•œ E (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} π•œ E (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) _inst_5) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1) _inst_4)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18) f)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => π•œ) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulOneClass.toMul.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2))))) (MulOneClass.toMul.{u1} π•œ (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MonoidHomClass.toMulHomClass.{max u1 u2, u2, u1} (MonoidHom.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MonoidHom.monoidHomClass.{u2, u1} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ (MulZeroOneClass.toMulOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (NonAssocSemiring.toMulZeroOneClass.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Semiring.toNonAssocSemiring.{u2} (LinearMap.{u1, u1, u2, u2} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (Module.End.semiring.{u1, u2} π•œ E (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (MulZeroOneClass.toMulOneClass.{u1} π•œ (NonAssocSemiring.toMulZeroOneClass.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (CommRing.toCommSemiring.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (LinearMap.det.{u2, u1} E _inst_1 π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) _inst_2) f)
+Case conversion may be inaccurate. Consider using '#align linear_map.det_to_continuous_linear_map LinearMap.det_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem det_toContinuousLinearMap (f : E β†’β‚—[π•œ] E) : f.toContinuousLinearMap.det = f.det :=
   rfl
 #align linear_map.det_to_continuous_linear_map LinearMap.det_toContinuousLinearMap
 
+/- warning: linear_map.ker_to_continuous_linear_map -> LinearMap.ker_toContinuousLinearMap is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u2} (Submodule.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u2} (Submodule.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)
+Case conversion may be inaccurate. Consider using '#align linear_map.ker_to_continuous_linear_map LinearMap.ker_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem ker_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : ker f.toContinuousLinearMap = ker f :=
   rfl
 #align linear_map.ker_to_continuous_linear_map LinearMap.ker_toContinuousLinearMap
 
+/- warning: linear_map.range_to_continuous_linear_map -> LinearMap.range_toContinuousLinearMap is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toHasSmul.{u1, u3} π•œ F' (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F' (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F' (AddMonoid.toAddZeroClass.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u3} (Submodule.{u1, u3} π•œ F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (RingHomSurjective.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) (fun (_x : LinearEquiv.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14))) => (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) -> (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (LinearEquiv.hasCoeToFun.{u1, u1, max u2 u3, max u2 u3} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (LinearMap.toContinuousLinearMap._proof_3.{u3} F' _inst_11 _inst_13 _inst_14)) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (LinearMap.toContinuousLinearMap._proof_4.{u1, u3} π•œ hnorm F' _inst_11 _inst_12)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (LinearMap.toContinuousLinearMap._proof_5.{u1, u3} π•œ hnorm F' _inst_11 _inst_12) (LinearMap.toContinuousLinearMap._proof_6.{u1, u3} π•œ hnorm F' _inst_11 _inst_12 _inst_13 _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u3} F' _inst_11 _inst_13 _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHomSurjective.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) f)
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F' : Type.{u3}} [_inst_11 : AddCommGroup.{u3} F'] [_inst_12 : Module.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11)] [_inst_13 : TopologicalSpace.{u3} F'] [_inst_14 : TopologicalAddGroup.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11)] [_inst_15 : ContinuousSMul.{u1, u3} π•œ F' (SMulZeroClass.toSMul.{u1, u3} π•œ F' (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12), Eq.{succ u3} (Submodule.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) f) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12)) (RingHomSurjective.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (fun (_x : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) => ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))))))) (SMulZeroClass.toSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toZero.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribSMul.toSMulZeroClass.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddMonoid.toAddZeroClass.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, max u3 u2, max u3 u2} (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))))) (Module.toDistribMulAction.{u1, max u3 u2} π•œ (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (SemilinearMapClass.distribMulActionHomClass.{u1, max u3 u2, max u3 u2, max u3 u2} π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, max u3 u2, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, max u3 u2, max u3 u2} π•œ π•œ (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) (ContinuousLinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 F' _inst_13 (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12 _inst_12 (smulCommClass_self.{u1, u3} π•œ F' (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F' (SubNegZeroMonoid.toNegZeroClass.{u3} F' (SubtractionMonoid.toSubNegZeroMonoid.{u3} F' (SubtractionCommMonoid.toSubtractionMonoid.{u3} F' (AddCommGroup.toDivisionAddCommMonoid.{u3} F' _inst_11))))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12))) (ContinuousSMul.continuousConstSMul.{u1, u3} π•œ F' (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_13 (SMulZeroClass.toSMul.{u1, u3} π•œ F' (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F' (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F' (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u3} F' (AddCommMonoid.toAddMonoid.{u3} F' (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11))) (Module.toMulActionWithZero.{u1, u3} π•œ F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_12)))) _inst_15) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u3} F' _inst_13 (AddCommGroup.toAddGroup.{u3} F' _inst_11) _inst_14)) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F' _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 _inst_17 _inst_18) f)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F' (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} π•œ π•œ E F' (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F' _inst_11) _inst_2 _inst_12 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHomSurjective.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) f)
+Case conversion may be inaccurate. Consider using '#align linear_map.range_to_continuous_linear_map LinearMap.range_toContinuousLinearMapβ‚“'. -/
 @[simp]
 theorem range_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') : range f.toContinuousLinearMap = range f :=
   rfl
 #align linear_map.range_to_continuous_linear_map LinearMap.range_toContinuousLinearMap
 
+/- warning: linear_map.is_open_map_of_finite_dimensional -> LinearMap.isOpenMap_of_finiteDimensional is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2), (Function.Surjective.{succ u3, succ u2} F E (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (LinearMap.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ F E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)) -> (IsOpenMap.{u3, u2} F E _inst_8 _inst_3 (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : LinearMap.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (LinearMap.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ F E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f))
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2), (Function.Surjective.{succ u3, succ u2} F E (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f)) -> (IsOpenMap.{u3, u2} F E _inst_8 _inst_3 (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) f))
+Case conversion may be inaccurate. Consider using '#align linear_map.is_open_map_of_finite_dimensional LinearMap.isOpenMap_of_finiteDimensionalβ‚“'. -/
 /-- A surjective linear map `f` with finite dimensional codomain is an open map. -/
 theorem isOpenMap_of_finiteDimensional (f : F β†’β‚—[π•œ] E) (hf : Function.Surjective f) : IsOpenMap f :=
   by
@@ -356,9 +438,11 @@ theorem isOpenMap_of_finiteDimensional (f : F β†’β‚—[π•œ] E) (hf : Function.Sur
   Β· simp only [map_sub, map_add, ← comp_apply f g, hg, id_apply, sub_add_cancel]
 #align linear_map.is_open_map_of_finite_dimensional LinearMap.isOpenMap_of_finiteDimensional
 
+#print LinearMap.canLiftContinuousLinearMap /-
 instance canLiftContinuousLinearMap : CanLift (E β†’β‚—[π•œ] F) (E β†’L[π•œ] F) coe fun _ => True :=
   ⟨fun f _ => ⟨f.toContinuousLinearMap, rfl⟩⟩
 #align linear_map.can_lift_continuous_linear_map LinearMap.canLiftContinuousLinearMap
+-/
 
 end LinearMap
 
@@ -368,6 +452,7 @@ variable [T2Space E] [T2Space F] [FiniteDimensional π•œ E]
 
 namespace LinearEquiv
 
+#print LinearEquiv.toContinuousLinearEquiv /-
 /-- The continuous linear equivalence induced by a linear equivalence on a finite dimensional
 space. -/
 def toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : E ≃L[π•œ] F :=
@@ -377,29 +462,47 @@ def toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : E ≃L[π•œ] F :=
       haveI : FiniteDimensional π•œ F := e.finite_dimensional
       e.symm.to_linear_map.continuous_of_finite_dimensional }
 #align linear_equiv.to_continuous_linear_equiv LinearEquiv.toContinuousLinearEquiv
+-/
 
+#print LinearEquiv.coe_toContinuousLinearEquiv /-
 @[simp]
 theorem coe_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’β‚—[π•œ] F) = e :=
   rfl
 #align linear_equiv.coe_to_continuous_linear_equiv LinearEquiv.coe_toContinuousLinearEquiv
+-/
 
+/- warning: linear_equiv.coe_to_continuous_linear_equiv' -> LinearEquiv.coe_to_continuous_linear_equiv' is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) e)
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} (forall (a : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)))) (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : E) => F) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ E F (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u1, u3} π•œ F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribSMul.toSMulZeroClass.{u1, u3} π•œ F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribMulAction.toDistribSMul.{u1, u3} π•œ F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) π•œ E F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} π•œ E F (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} π•œ π•œ E F (LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) e)
+Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_to_continuous_linear_equiv'β‚“'. -/
 @[simp]
 theorem coe_to_continuous_linear_equiv' (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’ F) = e :=
   rfl
 #align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_to_continuous_linear_equiv'
 
+#print LinearEquiv.coe_toContinuousLinearEquiv_symm /-
 @[simp]
 theorem coe_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
     (e.toContinuousLinearEquiv.symm : F β†’β‚—[π•œ] E) = e.symm :=
   rfl
 #align linear_equiv.coe_to_continuous_linear_equiv_symm LinearEquiv.coe_toContinuousLinearEquiv_symm
+-/
 
+/- warning: linear_equiv.coe_to_continuous_linear_equiv_symm' -> LinearEquiv.coe_toContinuousLinearEquiv_symm' is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u3) (succ u2)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.toContinuousLinearEquiv._proof_3.{u1} π•œ hnorm) (LinearEquiv.toContinuousLinearEquiv._proof_4.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (fun (_x : LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) => F -> E) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u2} π•œ π•œ F E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) e))
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toSMul.{u1, u3} π•œ F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π•œ F (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_6))))) (Module.toMulActionWithZero.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : T2Space.{u3} F _inst_8] [_inst_19 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (e : LinearEquiv.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7), Eq.{max (succ u2) (succ u3)} (forall (a : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F E _inst_8 _inst_3 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u2 u3, u1, u1, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2)))) (ContinuousLinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (LinearEquiv.toContinuousLinearEquiv.{u1, u2, u3} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 _inst_17 _inst_18 _inst_19 e))) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : F) => E) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ F E (SMulZeroClass.toSMul.{u1, u3} π•œ F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribSMul.toSMulZeroClass.{u1, u3} π•œ F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6))) (DistribMulAction.toDistribSMul.{u1, u3} π•œ F (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (SMulZeroClass.toSMul.{u1, u2} π•œ E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribSMul.toSMulZeroClass.{u1, u2} π•œ E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1))) (DistribMulAction.toDistribSMul.{u1, u2} π•œ E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) π•œ F E (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)) (Module.toDistribMulAction.{u1, u3} π•œ F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (Module.toDistribMulAction.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u2, max u2 u3} π•œ F E (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u2, max u2 u3} π•œ π•œ F E (LinearEquiv.{u1, u1, u3, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) F E (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u2} π•œ π•œ F E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_7 _inst_2 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearEquiv.symm.{u1, u1, u2, u3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) e))
+Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_continuous_linear_equiv_symm' LinearEquiv.coe_toContinuousLinearEquiv_symm'β‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearEquiv_symm' (e : E ≃ₗ[π•œ] F) :
     (e.toContinuousLinearEquiv.symm : F β†’ E) = e.symm :=
   rfl
 #align linear_equiv.coe_to_continuous_linear_equiv_symm' LinearEquiv.coe_toContinuousLinearEquiv_symm'
 
+#print LinearEquiv.toLinearEquiv_toContinuousLinearEquiv /-
 @[simp]
 theorem toLinearEquiv_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) :
     e.toContinuousLinearEquiv.toLinearEquiv = e :=
@@ -407,7 +510,9 @@ theorem toLinearEquiv_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) :
   ext x
   rfl
 #align linear_equiv.to_linear_equiv_to_continuous_linear_equiv LinearEquiv.toLinearEquiv_toContinuousLinearEquiv
+-/
 
+#print LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm /-
 @[simp]
 theorem toLinearEquiv_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
     e.toContinuousLinearEquiv.symm.toLinearEquiv = e.symm :=
@@ -415,23 +520,29 @@ theorem toLinearEquiv_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
   ext x
   rfl
 #align linear_equiv.to_linear_equiv_to_continuous_linear_equiv_symm LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm
+-/
 
+#print LinearEquiv.canLiftContinuousLinearEquiv /-
 instance canLiftContinuousLinearEquiv :
     CanLift (E ≃ₗ[π•œ] F) (E ≃L[π•œ] F) ContinuousLinearEquiv.toLinearEquiv fun _ => True :=
   ⟨fun f _ => ⟨_, f.toLinearEquiv_toContinuousLinearEquiv⟩⟩
 #align linear_equiv.can_lift_continuous_linear_equiv LinearEquiv.canLiftContinuousLinearEquiv
+-/
 
 end LinearEquiv
 
 variable [FiniteDimensional π•œ F]
 
+#print FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq /-
 /-- Two finite-dimensional topological vector spaces over a complete normed field are continuously
 linearly equivalent if they have the same (finite) dimension. -/
 theorem FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq
     (cond : finrank π•œ E = finrank π•œ F) : Nonempty (E ≃L[π•œ] F) :=
   (nonempty_linearEquiv_of_finrank_eq cond).map LinearEquiv.toContinuousLinearEquiv
 #align finite_dimensional.nonempty_continuous_linear_equiv_of_finrank_eq FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq
+-/
 
+#print FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq /-
 /-- Two finite-dimensional topological vector spaces over a complete normed field are continuously
 linearly equivalent if and only if they have the same (finite) dimension. -/
 theorem FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq :
@@ -439,12 +550,15 @@ theorem FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq :
   ⟨fun ⟨h⟩ => h.toLinearEquiv.finrank_eq, fun h =>
     FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq h⟩
 #align finite_dimensional.nonempty_continuous_linear_equiv_iff_finrank_eq FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq
+-/
 
+#print ContinuousLinearEquiv.ofFinrankEq /-
 /-- A continuous linear equivalence between two finite-dimensional topological vector spaces over a
 complete normed field of the same (finite) dimension. -/
 def ContinuousLinearEquiv.ofFinrankEq (cond : finrank π•œ E = finrank π•œ F) : E ≃L[π•œ] F :=
   (LinearEquiv.ofFinrankEq E F cond).toContinuousLinearEquiv
 #align continuous_linear_equiv.of_finrank_eq ContinuousLinearEquiv.ofFinrankEq
+-/
 
 end
 
@@ -452,17 +566,26 @@ namespace Basis
 
 variable {ΞΉ : Type _} [Fintype ΞΉ] [T2Space E]
 
+#print Basis.constrL /-
 /-- Construct a continuous linear map given the value at a finite basis. -/
 def constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : E β†’L[π•œ] F :=
   haveI : FiniteDimensional π•œ E := FiniteDimensional.of_fintype_basis v
   (v.constr π•œ f).toContinuousLinearMap
 #align basis.constrL Basis.constrL
+-/
 
+/- warning: basis.coe_constrL -> Basis.coe_constrL is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] {ΞΉ : Type.{u4}} [_inst_17 : Fintype.{u4} ΞΉ] [_inst_18 : T2Space.{u2} E _inst_3] (v : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (f : ΞΉ -> F), Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (CoeTCβ‚“.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)))) (Basis.constrL.{u1, u2, u3, u4} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f)) (coeFn.{max (succ (max u4 u3)) (succ (max u2 u3)), max (succ (max u4 u3)) (succ (max u2 u3))} (LinearEquiv.{u1, u1, max u4 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u4, u3} ΞΉ (fun (αΎ° : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Pi.Function.module.{u4, u1, u3} ΞΉ π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7))))) (fun (_x : LinearEquiv.{u1, u1, max u4 u3, max u2 u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u4, u3} ΞΉ (fun (αΎ° : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Pi.Function.module.{u4, u1, u3} ΞΉ π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7))))) => (ΞΉ -> F) -> (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7)) (LinearEquiv.hasCoeToFun.{u1, u1, max u4 u3, max u2 u3} π•œ π•œ (ΞΉ -> F) (LinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Pi.addCommMonoid.{u4, u3} ΞΉ (fun (αΎ° : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u3} F _inst_6)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Pi.Function.module.{u4, u1, u3} ΞΉ π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7) (LinearMap.module.{u1, u1, u1, u2, u3} π•œ π•œ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.constr.{u4, u1, u2, u3, u1} ΞΉ π•œ E F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7 v π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u1, u3} π•œ F (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) f)
+but is expected to have type
+  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (ContinuousLinearMap.toLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), max (succ u1) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (ΞΉ -> F) (fun (_x : ΞΉ -> F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : ΞΉ -> F) => LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u4, u2, max u1 u4, max u3 u4} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (SMulZeroClass.toSMul.{u2, max u1 u4} π•œ (ΞΉ -> F) (AddMonoid.toZero.{max u1 u4} (ΞΉ -> F) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)))) (DistribSMul.toSMulZeroClass.{u2, max u1 u4} π•œ (ΞΉ -> F) (AddMonoid.toAddZeroClass.{max u1 u4} (ΞΉ -> F) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)))) (DistribMulAction.toDistribSMul.{u2, max u1 u4} π•œ (ΞΉ -> F) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6))) (Module.toDistribMulAction.{u2, max u1 u4} π•œ (ΞΉ -> F) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)))))) (SMulZeroClass.toSMul.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddMonoid.toZero.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddMonoid.toAddZeroClass.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Module.toDistribMulAction.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u4, u2, max u1 u4, max u3 u4} (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (ΞΉ -> F) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6))) (AddCommMonoid.toAddMonoid.{max u3 u4} (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Module.toDistribMulAction.{u2, max u1 u4} π•œ (ΞΉ -> F) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7))) (Module.toDistribMulAction.{u2, max u3 u4} π•œ (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u4, max u3 u4, max (max u3 u1) u4} π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u4, max u3 u4, max (max u3 u1) u4} π•œ π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (LinearEquiv.{u2, u2, max u1 u4, max u4 u3} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u4, max u3 u4} π•œ π•œ (ΞΉ -> F) (LinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u4} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6)) (LinearMap.addCommMonoid.{u2, u2, u3, u4} π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (Pi.module.{u1, u4, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.7822 : ΞΉ) => F) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (fun (i : ΞΉ) => _inst_7)) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u3, u4} π•œ π•œ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.constr.{u1, u2, u3, u4, u2} ΞΉ π•œ E F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7 v π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) _inst_7 (smulCommClass_self.{u2, u4} π•œ F (CommRing.toCommMonoid.{u2} π•œ (EuclideanDomain.toCommRing.{u2} π•œ (Field.toEuclideanDomain.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) f)
+Case conversion may be inaccurate. Consider using '#align basis.coe_constrL Basis.coe_constrLβ‚“'. -/
 @[simp, norm_cast]
 theorem coe_constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : (v.constrL f : E β†’β‚—[π•œ] F) = v.constr π•œ f :=
   rfl
 #align basis.coe_constrL Basis.coe_constrL
 
+#print Basis.equivFunL /-
 /-- The continuous linear equivalence between a vector space over `π•œ` with a finite basis and
 functions from its basis indexing type to `π•œ`. -/
 def equivFunL (v : Basis ΞΉ π•œ E) : E ≃L[π•œ] ΞΉ β†’ π•œ :=
@@ -475,13 +598,26 @@ def equivFunL (v : Basis ΞΉ π•œ E) : E ≃L[π•œ] ΞΉ β†’ π•œ :=
       change Continuous v.equiv_fun.symm.to_fun
       exact v.equiv_fun.symm.to_linear_map.continuous_of_finite_dimensional }
 #align basis.equiv_funL Basis.equivFunL
+-/
 
+/- warning: basis.constrL_apply -> Basis.constrL_apply is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] {ΞΉ : Type.{u4}} [_inst_17 : Fintype.{u4} ΞΉ] [_inst_18 : T2Space.{u2} E _inst_3] (v : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (f : ΞΉ -> F) (e : E), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Basis.constrL.{u1, u2, u3, u4} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) e) (Finset.sum.{u3, u4} F ΞΉ (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) (Finset.univ.{u4} ΞΉ _inst_17) (fun (i : ΞΉ) => SMul.smul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (coeFn.{max (succ u2) (succ (max u4 u1)), max (succ u2) (succ (max u4 u1))} (LinearEquiv.{u1, u1, u2, max u4 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u4, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u4, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearEquiv.{u1, u1, u2, max u4 u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u4, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u4, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => E -> ΞΉ -> π•œ) (LinearEquiv.hasCoeToFun.{u1, u1, u2, max u4 u1} π•œ π•œ E (ΞΉ -> π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) (Pi.addCommMonoid.{u4, u1} ΞΉ (fun (αΎ° : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) _inst_2 (Pi.Function.module.{u4, u1, u1} ΞΉ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.equivFun.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_17 v) e i) (f i)))
+but is expected to have type
+  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F) (e : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) e) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7))) (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) e) (Finset.sum.{u4, u1} F ΞΉ (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) (Finset.univ.{u1} ΞΉ _inst_17) (fun (i : ΞΉ) => HSMul.hSMul.{u2, u4, u4} π•œ F F (instHSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7))))) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u3, max (succ u2) (succ u1)} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : E) => ΞΉ -> π•œ) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (SMulZeroClass.toSMul.{u2, u3} π•œ E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribSMul.toSMulZeroClass.{u2, u3} π•œ E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1))) (DistribMulAction.toDistribSMul.{u2, u3} π•œ E (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (SMulZeroClass.toSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toZero.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (AddMonoid.toAddZeroClass.{max u2 u1} (ΞΉ -> π•œ) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, u3, max u2 u1} (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) π•œ E (ΞΉ -> π•œ) (MonoidWithZero.toMonoid.{u2} π•œ (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)) (AddCommMonoid.toAddMonoid.{max u2 u1} (ΞΉ -> π•œ) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (Module.toDistribMulAction.{u2, max u2 u1} π•œ (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, max u2 u1, max (max u2 u3) u1} π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, max u2 u1, max (max u2 u3) u1} π•œ π•œ E (ΞΉ -> π•œ) (LinearEquiv.{u2, u2, u3, max u1 u2} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) E (ΞΉ -> π•œ) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, max u2 u1} π•œ π•œ E (ΞΉ -> π•œ) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) (Pi.addCommMonoid.{u1, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))) _inst_2 (Pi.module.{u1, u2, u2} ΞΉ (fun (a._@.Mathlib.LinearAlgebra.Basis._hyg.11185 : ΞΉ) => π•œ) π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (fun (i : ΞΉ) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))))) (fun (i : ΞΉ) => Semiring.toModule.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (RingHomInvPair.ids.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))))))) (Basis.equivFun.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2 _inst_17 v) e i) (f i)))
+Case conversion may be inaccurate. Consider using '#align basis.constrL_apply Basis.constrL_applyβ‚“'. -/
 @[simp]
 theorem constrL_apply (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
     (v.constrL f) e = βˆ‘ i, v.equivFun e i β€’ f i :=
   v.constr_apply_fintype π•œ _ _
 #align basis.constrL_apply Basis.constrL_apply
 
+/- warning: basis.constrL_basis -> Basis.constrL_basis is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] {F : Type.{u3}} [_inst_6 : AddCommGroup.{u3} F] [_inst_7 : Module.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)] [_inst_8 : TopologicalSpace.{u3} F] [_inst_9 : TopologicalAddGroup.{u3} F _inst_8 (AddCommGroup.toAddGroup.{u3} F _inst_6)] [_inst_10 : ContinuousSMul.{u1, u3} π•œ F (SMulZeroClass.toHasSmul.{u1, u3} π•œ F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u3} π•œ F (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (MulActionWithZero.toSMulWithZero.{u1, u3} π•œ F (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_6)))) (Module.toMulActionWithZero.{u1, u3} π•œ F (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] {ΞΉ : Type.{u4}} [_inst_17 : Fintype.{u4} ΞΉ] [_inst_18 : T2Space.{u2} E _inst_3] (v : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (f : ΞΉ -> F) (i : ΞΉ), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u3} F _inst_6) _inst_2 _inst_7) (Basis.constrL.{u1, u2, u3, u4} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) (coeFn.{max (succ u4) (succ u1) (succ u2), max (succ u4) (succ u2)} (Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) (fun (_x : Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) => ΞΉ -> E) (FunLike.hasCoeToFun.{max (succ u4) (succ u1) (succ u2), succ u4, succ u2} (Basis.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2) ΞΉ (fun (_x : ΞΉ) => E) (Basis.funLike.{u4, u1, u2} ΞΉ π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)) v i)) (f i)
+but is expected to have type
+  forall {π•œ : Type.{u2}} [hnorm : NontriviallyNormedField.{u2} π•œ] {E : Type.{u3}} [_inst_1 : AddCommGroup.{u3} E] [_inst_2 : Module.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1)] [_inst_3 : TopologicalSpace.{u3} E] [_inst_4 : TopologicalAddGroup.{u3} E _inst_3 (AddCommGroup.toAddGroup.{u3} E _inst_1)] [_inst_5 : ContinuousSMul.{u2, u3} π•œ E (SMulZeroClass.toSMul.{u2, u3} π•œ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u2, u3} π•œ E (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π•œ E (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_1))))) (Module.toMulActionWithZero.{u2, u3} π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_3] {F : Type.{u4}} [_inst_6 : AddCommGroup.{u4} F] [_inst_7 : Module.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6)] [_inst_8 : TopologicalSpace.{u4} F] [_inst_9 : TopologicalAddGroup.{u4} F _inst_8 (AddCommGroup.toAddGroup.{u4} F _inst_6)] [_inst_10 : ContinuousSMul.{u2, u4} π•œ F (SMulZeroClass.toSMul.{u2, u4} π•œ F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (SMulWithZero.toSMulZeroClass.{u2, u4} π•œ F (CommMonoidWithZero.toZero.{u2} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u2} π•œ (Semifield.toCommGroupWithZero.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (MulActionWithZero.toSMulWithZero.{u2, u4} π•œ F (Semiring.toMonoidWithZero.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm)))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_6))))) (Module.toMulActionWithZero.{u2, u4} π•œ F (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) _inst_8] [_inst_16 : CompleteSpace.{u2} π•œ (PseudoMetricSpace.toUniformSpace.{u2} π•œ (SeminormedRing.toPseudoMetricSpace.{u2} π•œ (SeminormedCommRing.toSeminormedRing.{u2} π•œ (NormedCommRing.toSeminormedCommRing.{u2} π•œ (NormedField.toNormedCommRing.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))] {ΞΉ : Type.{u1}} [_inst_17 : Fintype.{u1} ΞΉ] [_inst_18 : T2Space.{u3} E _inst_3] (v : Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) (f : ΞΉ -> F) (i : ΞΉ), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) ΞΉ (fun (a : ΞΉ) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ΞΉ) => E) a) (Basis.funLike.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) v i)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) E F _inst_3 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7) π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} π•œ π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (RingHom.id.{u2} π•œ (Semiring.toNonAssocSemiring.{u2} π•œ (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) F _inst_8 (AddCommGroup.toAddCommMonoid.{u4} F _inst_6) _inst_2 _inst_7))) (Basis.constrL.{u2, u3, u4, u1} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 F _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_16 ΞΉ _inst_17 _inst_18 v f) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) ΞΉ (fun (_x : ΞΉ) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ΞΉ) => E) _x) (Basis.funLike.{u1, u2, u3} ΞΉ π•œ E (DivisionSemiring.toSemiring.{u2} π•œ (Semifield.toDivisionSemiring.{u2} π•œ (Field.toSemifield.{u2} π•œ (NormedField.toField.{u2} π•œ (NontriviallyNormedField.toNormedField.{u2} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_1) _inst_2) v i)) (f i)
+Case conversion may be inaccurate. Consider using '#align basis.constrL_basis Basis.constrL_basisβ‚“'. -/
 @[simp]
 theorem constrL_basis (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (i : ΞΉ) : (v.constrL f) (v i) = f i :=
   v.constr_basis π•œ _ _
@@ -493,12 +629,24 @@ namespace ContinuousLinearMap
 
 variable [T2Space E] [FiniteDimensional π•œ E]
 
+/- warning: continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero -> ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), (Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (OfNat.mk.{u1} π•œ 0 (Zero.zero.{u1} π•œ (MulZeroClass.toHasZero.{u1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) -> (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2), (Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (Zero.toOfNat0.{u1} π•œ (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) -> (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.toContinuousLinearEquivOfDetNeZeroβ‚“'. -/
 /-- Builds a continuous linear equivalence from a continuous linear map on a finite-dimensional
 vector space whose determinant is nonzero. -/
 def toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) : E ≃L[π•œ] E :=
   ((f : E β†’β‚—[π•œ] E).equivOfDetNeZero hf).toContinuousLinearEquiv
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero
 
+/- warning: continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero -> ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (hf : Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (OfNat.mk.{u1} π•œ 0 (Zero.zero.{u1} π•œ (MulZeroClass.toHasZero.{u1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (HasLiftT.mk.{succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (CoeTCβ‚“.coe.{succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (coeBase.{succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18 f hf)) f
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (hf : Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (Zero.toOfNat0.{u1} π•œ (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearEquiv.toContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18 f hf)) f
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZeroβ‚“'. -/
 @[simp]
 theorem coe_toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det β‰  0) :
     (f.toContinuousLinearEquivOfDetNeZero hf : E β†’L[π•œ] E) = f :=
@@ -507,12 +655,24 @@ theorem coe_toContinuousLinearEquivOfDetNeZero (f : E β†’L[π•œ] E) (hf : f.det
   rfl
 #align continuous_linear_map.coe_to_continuous_linear_equiv_of_det_ne_zero ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero
 
+/- warning: continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply -> ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toHasSmul.{u1, u2} π•œ E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{u1, u2} π•œ E (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)))) (Module.toMulActionWithZero.{u1, u2} π•œ E (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (hf : Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (OfNat.mk.{u1} π•œ 0 (Zero.zero.{u1} π•œ (MulZeroClass.toHasZero.{u1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) (x : E), Eq.{succ u2} E (coeFn.{succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => E -> E) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_1.{u1} π•œ hnorm) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero._proof_2.{u1} π•œ hnorm) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18 f hf) x) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) => E -> E) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) f x)
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] {E : Type.{u2}} [_inst_1 : AddCommGroup.{u2} E] [_inst_2 : Module.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.{u2} E] [_inst_4 : TopologicalAddGroup.{u2} E _inst_3 (AddCommGroup.toAddGroup.{u2} E _inst_1)] [_inst_5 : ContinuousSMul.{u1, u2} π•œ E (SMulZeroClass.toSMul.{u1, u2} π•œ E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π•œ E (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π•œ E (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_1))))) (Module.toMulActionWithZero.{u1, u2} π•œ E (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) _inst_3] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] [_inst_17 : T2Space.{u2} E _inst_3] [_inst_18 : FiniteDimensional.{u1, u2} π•œ E (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) _inst_1 _inst_2] (f : ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) (hf : Ne.{succ u1} π•œ (ContinuousLinearMap.det.{u1, u2} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) E _inst_3 _inst_1 _inst_2 f) (OfNat.ofNat.{u1} π•œ 0 (Zero.toOfNat0.{u1} π•œ (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (x : E), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) x) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) E E _inst_3 _inst_3 (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearEquiv.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2)))) (ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero.{u1, u2} π•œ hnorm E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_16 _inst_17 _inst_18 f hf) x) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => E) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) E E _inst_3 _inst_3 (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2) π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u2} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) E _inst_3 (AddCommGroup.toAddCommMonoid.{u2} E _inst_1) _inst_2 _inst_2))) f x)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_applyβ‚“'. -/
 @[simp]
 theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.det β‰  0) (x : E) :
     f.toContinuousLinearEquivOfDetNeZero hf x = f x :=
   rfl
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply
 
+/- warning: matrix.to_lin_fin_two_prod_to_continuous_linear_map -> Matrix.toLin_finTwoProd_toContinuousLinearMap is a dubious translation:
+lean 3 declaration is
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) => (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) -> (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_3.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_4.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_5.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.toContinuousLinearMap._proof_6.{u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_7.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.toContinuousLinearMap._proof_1.{u1} π•œ hnorm) (LinearMap.toContinuousLinearMap._proof_2.{u1} π•œ hnorm)) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommGroup.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.topological_add_group.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedAddGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toNormedAddGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Mul.toSMul.{u1} π•œ (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Distrib.toHasMul.{u1} π•œ (Ring.toDistrib.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (DivisionRing.toRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) => (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) -> (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_3.{u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Matrix.toLin._proof_1.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.toLin._proof_2.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (fun (_x : Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) => ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) -> (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Equiv.hasCoeToFun.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMul.smul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (Prod.topologicalSpace.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.addCommMonoid.{u1, u1} π•œ π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Monoid.toMulAction.{u1} π•œ (CommMonoid.toMonoid.{u1} π•œ (CommRing.toCommMonoid.{u1} π•œ (SeminormedCommRing.toCommRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulCommClass.continuousConstSMul.{u1, u1} π•œ π•œ (Ring.toMonoid.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (SMulZeroClass.toHasSmul.{u1, u1} π•œ π•œ (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} π•œ π•œ (MulZeroClass.toHasZero.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddZeroClass.toHasZero.{u1} π•œ (AddMonoid.toAddZeroClass.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Algebra.to_smulCommClass.{u1, u1} π•œ π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Algebra.id.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (semi_normed_ring_top_monoid.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LipschitzAdd.continuousAdd.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddMonoidWithOne.toAddMonoid.{u1} π•œ (AddGroupWithOne.toAddMonoidWithOne.{u1} π•œ (AddCommGroupWithOne.toAddGroupWithOne.{u1} π•œ (Ring.toAddCommGroupWithOne.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (Ring.toSemiring.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSemiNormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddCommMonoid.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
+but is expected to have type
+  forall {π•œ : Type.{u1}} [hnorm : NontriviallyNormedField.{u1} π•œ] [_inst_16 : CompleteSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))] (a : π•œ) (b : π•œ) (c : π•œ) (d : π•œ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (a : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) a) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (a : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) a) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (fun (_x : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) => ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (AddCommMonoid.toAddMonoid.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NegZeroClass.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (SubNegZeroMonoid.toNegZeroClass.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionMonoid.toSubNegZeroMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (SubtractionCommMonoid.toSubtractionMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toDivisionAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (ContinuousSMul.continuousConstSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (AddCommGroup.toAddCommMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalAddGroup.toContinuousAdd.{u1} (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommGroup.toAddGroup.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (LinearMap.toContinuousLinearMap.{u1, u1, u1} π•œ hnorm (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommGroupSum.{u1, u1} π•œ π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (instTopologicalAddGroupSumInstTopologicalSpaceSumInstAddGroupSum.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommGroup.toAddGroup.{u1} π•œ (NormedAddCommGroup.toAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNormedAddCommGroup.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.continuousSMul.{u1, u1, u1} π•œ π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (MulAction.toSMul.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (DistribMulAction.toMulAction.{u1, u1} π•œ π•œ (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousMul.to_continuousSMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (MulZeroClass.toMul.{u1} π•œ (MulZeroOneClass.toMulZeroClass.{u1} π•œ (MonoidWithZero.toMulZeroOneClass.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _inst_16 (Prod.t2Space.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T25Space.t2Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (T3Space.t25Space.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (separated_t3.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MetricSpace.to_separated.{u1} π•œ (NormedField.toMetricSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Module.Finite.prod.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (DivisionRing.toDivisionSemiring.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (FiniteDimensional.finiteDimensional_self.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (fun (_x : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) => LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toZero.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddMonoid.toAddZeroClass.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SMulZeroClass.toSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (DistribMulAction.toDistribSMul.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (MonoidWithZero.toMonoid.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Module.toDistribMulAction.{u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Module.toDistribMulAction.{u1, u1} π•œ (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (LinearEquiv.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} π•œ π•œ (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (LinearMap.{u1, u1, u1, u1} π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Matrix.addCommMonoid.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Matrix.module.{u1, 0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (smulCommClass_self.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toCommMonoid.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (Semiring.toMonoidWithZero.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} (Prod.{u1, u1} π•œ π•œ) (AddCommMonoid.toAddMonoid.{u1} (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ (Prod.{u1, u1} π•œ π•œ) (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (RingHomInvPair.ids.{u1} π•œ (CommSemiring.toSemiring.{u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))))) (Matrix.toLin.{u1, 0, 0, u1, u1} π•œ (Semifield.toCommSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Prod.{u1, u1} π•œ π•œ) (Prod.{u1, u1} π•œ π•œ) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Semiring.toModule.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (Basis.finTwoProd.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) π•œ) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) b (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) c (Matrix.vecCons.{u1} π•œ (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) d (Matrix.vecEmpty.{u1} π•œ))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> π•œ))))))) (ContinuousLinearMap.prod.{u1, u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) a (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) b (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHAdd.{u1} (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.add.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) c (ContinuousLinearMap.fst.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (HSMul.hSMul.{u1, u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (instHSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulZeroClass.toSMul.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (ContinuousLinearMap.zero.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (Module.toMulActionWithZero.{u1, u1} π•œ (ContinuousLinearMap.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (Prod.{u1, u1} π•œ π•œ) (instTopologicalSpaceProd.{u1, u1} π•œ π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (Prod.instAddCommMonoidSum.{u1, u1} π•œ π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (Prod.module.{u1, u1, u1} π•œ π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (smulCommClass_self.{u1, u1} π•œ π•œ (CommRing.toCommMonoid.{u1} π•œ (EuclideanDomain.toCommRing.{u1} π•œ (Field.toEuclideanDomain.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (MulActionWithZero.toMulAction.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (CommMonoidWithZero.toZero.{u1} π•œ (CommGroupWithZero.toCommMonoidWithZero.{u1} π•œ (Semifield.toCommGroupWithZero.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (MonoidWithZero.toMulActionWithZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} π•œ π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SMulZeroClass.toSMul.{u1, u1} π•œ π•œ (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} π•œ π•œ (MonoidWithZero.toZero.{u1} π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} π•œ π•œ (Semiring.toMonoidWithZero.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (AddMonoid.toZero.{u1} π•œ (AddCommMonoid.toAddMonoid.{u1} π•œ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))) (Module.toMulActionWithZero.{u1, u1} π•œ π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (Ring.uniformContinuousConstSMul.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))) (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} π•œ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousMul.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (RingHom.id.{u1} π•œ (Semiring.toNonAssocSemiring.{u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalSemiring.toContinuousAdd.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (TopologicalRing.toTopologicalSemiring.{u1} π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} π•œ (NormedDivisionRing.toDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} π•œ (NormedField.toNormedDivisionRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))))))) d (ContinuousLinearMap.snd.{u1, u1, u1} π•œ (DivisionSemiring.toSemiring.{u1} π•œ (Semifield.toDivisionSemiring.{u1} π•œ (Field.toSemifield.{u1} π•œ (NormedField.toField.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) π•œ (UniformSpace.toTopologicalSpace.{u1} π•œ (PseudoMetricSpace.toUniformSpace.{u1} π•œ (SeminormedRing.toPseudoMetricSpace.{u1} π•œ (SeminormedCommRing.toSeminormedRing.{u1} π•œ (NormedCommRing.toSeminormedCommRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} π•œ (NonAssocRing.toNonUnitalNonAssocRing.{u1} π•œ (Ring.toNonAssocRing.{u1} π•œ (NormedRing.toRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm))) (NormedSpace.toModule.{u1, u1} π•œ π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} π•œ (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} π•œ (NormedRing.toNonUnitalNormedRing.{u1} π•œ (NormedCommRing.toNormedRing.{u1} π•œ (NormedField.toNormedCommRing.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))) (NormedField.toNormedSpace.{u1} π•œ (NontriviallyNormedField.toNormedField.{u1} π•œ hnorm)))))))
+Case conversion may be inaccurate. Consider using '#align matrix.to_lin_fin_two_prod_to_continuous_linear_map Matrix.toLin_finTwoProd_toContinuousLinearMapβ‚“'. -/
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
     (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ) !![a, b; c, d]).toContinuousLinearMap =
       (a β€’ ContinuousLinearMap.fst π•œ π•œ π•œ + b β€’ ContinuousLinearMap.snd π•œ π•œ π•œ).Prod
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: SΓ©bastien GouΓ«zel, Anatole Dedecker
 
 ! This file was ported from Lean 3 source module topology.algebra.module.finite_dimension
-! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
+! leanprover-community/mathlib commit 9425b6f8220e53b059f5a4904786c3c4b50fc057
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -362,10 +362,12 @@ instance canLiftContinuousLinearMap : CanLift (E β†’β‚—[π•œ] F) (E β†’L[π•œ] F
 
 end LinearMap
 
-namespace LinearEquiv
+section
 
 variable [T2Space E] [T2Space F] [FiniteDimensional π•œ E]
 
+namespace LinearEquiv
+
 /-- The continuous linear equivalence induced by a linear equivalence on a finite dimensional
 space. -/
 def toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : E ≃L[π•œ] F :=
@@ -421,6 +423,72 @@ instance canLiftContinuousLinearEquiv :
 
 end LinearEquiv
 
+variable [FiniteDimensional π•œ F]
+
+/-- Two finite-dimensional topological vector spaces over a complete normed field are continuously
+linearly equivalent if they have the same (finite) dimension. -/
+theorem FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq
+    (cond : finrank π•œ E = finrank π•œ F) : Nonempty (E ≃L[π•œ] F) :=
+  (nonempty_linearEquiv_of_finrank_eq cond).map LinearEquiv.toContinuousLinearEquiv
+#align finite_dimensional.nonempty_continuous_linear_equiv_of_finrank_eq FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq
+
+/-- Two finite-dimensional topological vector spaces over a complete normed field are continuously
+linearly equivalent if and only if they have the same (finite) dimension. -/
+theorem FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq :
+    Nonempty (E ≃L[π•œ] F) ↔ finrank π•œ E = finrank π•œ F :=
+  ⟨fun ⟨h⟩ => h.toLinearEquiv.finrank_eq, fun h =>
+    FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq h⟩
+#align finite_dimensional.nonempty_continuous_linear_equiv_iff_finrank_eq FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq
+
+/-- A continuous linear equivalence between two finite-dimensional topological vector spaces over a
+complete normed field of the same (finite) dimension. -/
+def ContinuousLinearEquiv.ofFinrankEq (cond : finrank π•œ E = finrank π•œ F) : E ≃L[π•œ] F :=
+  (LinearEquiv.ofFinrankEq E F cond).toContinuousLinearEquiv
+#align continuous_linear_equiv.of_finrank_eq ContinuousLinearEquiv.ofFinrankEq
+
+end
+
+namespace Basis
+
+variable {ΞΉ : Type _} [Fintype ΞΉ] [T2Space E]
+
+/-- Construct a continuous linear map given the value at a finite basis. -/
+def constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : E β†’L[π•œ] F :=
+  haveI : FiniteDimensional π•œ E := FiniteDimensional.of_fintype_basis v
+  (v.constr π•œ f).toContinuousLinearMap
+#align basis.constrL Basis.constrL
+
+@[simp, norm_cast]
+theorem coe_constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : (v.constrL f : E β†’β‚—[π•œ] F) = v.constr π•œ f :=
+  rfl
+#align basis.coe_constrL Basis.coe_constrL
+
+/-- The continuous linear equivalence between a vector space over `π•œ` with a finite basis and
+functions from its basis indexing type to `π•œ`. -/
+def equivFunL (v : Basis ΞΉ π•œ E) : E ≃L[π•œ] ΞΉ β†’ π•œ :=
+  {
+    v.equivFun with
+    continuous_toFun :=
+      haveI : FiniteDimensional π•œ E := FiniteDimensional.of_fintype_basis v
+      v.equiv_fun.to_linear_map.continuous_of_finite_dimensional
+    continuous_invFun := by
+      change Continuous v.equiv_fun.symm.to_fun
+      exact v.equiv_fun.symm.to_linear_map.continuous_of_finite_dimensional }
+#align basis.equiv_funL Basis.equivFunL
+
+@[simp]
+theorem constrL_apply (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
+    (v.constrL f) e = βˆ‘ i, v.equivFun e i β€’ f i :=
+  v.constr_apply_fintype π•œ _ _
+#align basis.constrL_apply Basis.constrL_apply
+
+@[simp]
+theorem constrL_basis (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (i : ΞΉ) : (v.constrL f) (v i) = f i :=
+  v.constr_basis π•œ _ _
+#align basis.constrL_basis Basis.constrL_basis
+
+end Basis
+
 namespace ContinuousLinearMap
 
 variable [T2Space E] [FiniteDimensional π•œ E]
Diff
@@ -445,7 +445,6 @@ theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.de
   rfl
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
     (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ) !![a, b; c, d]).toContinuousLinearMap =
       (a β€’ ContinuousLinearMap.fst π•œ π•œ π•œ + b β€’ ContinuousLinearMap.snd π•œ π•œ π•œ).Prod
Diff
@@ -445,12 +445,9 @@ theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.de
   rfl
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `Β«expr!![ Β» -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
-    (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ)
-          (Β«expr!![ Β»
-            "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation")).toContinuousLinearMap =
+    (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ) !![a, b; c, d]).toContinuousLinearMap =
       (a β€’ ContinuousLinearMap.fst π•œ π•œ π•œ + b β€’ ContinuousLinearMap.snd π•œ π•œ π•œ).Prod
         (c β€’ ContinuousLinearMap.fst π•œ π•œ π•œ + d β€’ ContinuousLinearMap.snd π•œ π•œ π•œ) :=
   ContinuousLinearMap.ext <| Matrix.toLin_finTwoProd_apply _ _ _ _
Diff
@@ -4,11 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: SΓ©bastien GouΓ«zel, Anatole Dedecker
 
 ! This file was ported from Lean 3 source module topology.algebra.module.finite_dimension
-! leanprover-community/mathlib commit f430769b562e0cedef59ee1ed968d67e0e0c86ba
+! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.LocallyConvex.BalancedCoreHull
+import Mathbin.LinearAlgebra.FreeModule.Finite.Matrix
 import Mathbin.Topology.Algebra.Module.Simple
 import Mathbin.Topology.Algebra.Module.Determinant
 
Diff
@@ -62,7 +62,7 @@ variable {π•œ E F : Type _} [Field π•œ] [TopologicalSpace π•œ] [AddCommGroup
 
 /-- The space of continuous linear maps between finite-dimensional spaces is finite-dimensional. -/
 instance [FiniteDimensional π•œ E] [FiniteDimensional π•œ F] : FiniteDimensional π•œ (E β†’L[π•œ] F) :=
-  FiniteDimensional.of_injective (ContinuousLinearMap.coeLm π•œ : (E β†’L[π•œ] F) β†’β‚—[π•œ] E β†’β‚—[π•œ] F)
+  FiniteDimensional.of_injective (ContinuousLinearMap.coeLM π•œ : (E β†’L[π•œ] F) β†’β‚—[π•œ] E β†’β‚—[π•œ] F)
     ContinuousLinearMap.coe_injective
 
 end Field
Diff
@@ -4,11 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: SΓ©bastien GouΓ«zel, Anatole Dedecker
 
 ! This file was ported from Lean 3 source module topology.algebra.module.finite_dimension
-! leanprover-community/mathlib commit a63928c34ec358b5edcda2bf7513c50052a5230f
+! leanprover-community/mathlib commit f430769b562e0cedef59ee1ed968d67e0e0c86ba
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.LocallyConvex.BalancedCoreHull
+import Mathbin.Topology.Algebra.Module.Simple
 import Mathbin.Topology.Algebra.Module.Determinant
 
 /-!
Diff
@@ -128,8 +128,8 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
             rw [smul_eq_mul, mul_one] <;>
           rfl
       _ ≀ @nhds π•œ t ((0 : π•œ) β€’ 1) :=
-        @tendsto.smul_const _ _ _ hnorm.to_uniform_space.to_topological_space t _ _ _ _ _ tendsto_id
-          (1 : π•œ)
+        (@tendsto.smul_const _ _ _ hnorm.to_uniform_space.to_topological_space t _ _ _ _ _
+          tendsto_id (1 : π•œ))
       _ = @nhds π•œ t 0 := by rw [zero_smul]
       
 #align unique_topology_of_t2 unique_topology_of_t2
@@ -444,11 +444,11 @@ theorem toContinuousLinearEquivOfDetNeZero_apply (f : E β†’L[π•œ] E) (hf : f.de
 #align continuous_linear_map.to_continuous_linear_equiv_of_det_ne_zero_apply ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `Β«expr!![ Β» -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
 theorem Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
     (Matrix.toLin (Basis.finTwoProd π•œ) (Basis.finTwoProd π•œ)
           (Β«expr!![ Β»
-            "./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation")).toContinuousLinearMap =
+            "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation")).toContinuousLinearMap =
       (a β€’ ContinuousLinearMap.fst π•œ π•œ π•œ + b β€’ ContinuousLinearMap.snd π•œ π•œ π•œ).Prod
         (c β€’ ContinuousLinearMap.fst π•œ π•œ π•œ + d β€’ ContinuousLinearMap.snd π•œ π•œ π•œ) :=
   ContinuousLinearMap.ext <| Matrix.toLin_finTwoProd_apply _ _ _ _
Diff
@@ -211,7 +211,7 @@ private theorem continuous_equiv_fun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [
     (ΞΎ : Basis ΞΉ π•œ E) : Continuous ΞΎ.equivFun :=
   by
   letI : UniformSpace E := TopologicalAddGroup.toUniformSpace E
-  letI : UniformAddGroup E := topological_add_commGroup_is_uniform
+  letI : UniformAddGroup E := comm_topologicalAddGroup_is_uniform
   letI : SeparatedSpace E := separated_iff_t2.mpr ht2
   induction' hn : Fintype.card ΞΉ with n IH generalizing ΞΉ E
   Β· rw [Fintype.card_eq_zero_iff] at hn
Diff
@@ -169,7 +169,7 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ) (hl : IsC
     have : induced Ο†.to_equiv.symm inferInstance = hnorm.to_uniform_space.to_topological_space :=
       by
       refine'
-        unique_topology_of_t2 (topological_add_group_induced Ο†.symm.to_linear_map)
+        unique_topology_of_t2 (topologicalAddGroup_induced Ο†.symm.to_linear_map)
           (continuousSMul_induced Ο†.symm.to_linear_map) _
       rw [t2Space_iff]
       exact fun x y hxy =>

Changes in mathlib4

mathlib3
mathlib4
chore: rename open_range to isOpen_range, closed_range to isClosed_range (#11438)

All these lemmas refer to the range of some function being open/range (i.e. isOpen or isClosed).

Diff
@@ -553,7 +553,7 @@ theorem LinearMap.closedEmbedding_of_injective [FiniteDimensional π•œ E] {f : E
     (hf : LinearMap.ker f = βŠ₯) : ClosedEmbedding f :=
   let g := LinearEquiv.ofInjective f (LinearMap.ker_eq_bot.mp hf)
   { embedding_subtype_val.comp g.toContinuousLinearEquiv.toHomeomorph.embedding with
-    closed_range := by
+    isClosed_range := by
       haveI := f.finiteDimensional_range
       simpa [LinearMap.range_coe f] using f.range.closed_of_finiteDimensional }
 #align linear_equiv.closed_embedding_of_injective LinearMap.closedEmbedding_of_injective
chore: classify "@[simp] can prove" porting notes (#11474)

Classifies by adding issue number #10618 to porting notes claiming

@[simp] can prove

Diff
@@ -389,7 +389,7 @@ theorem toLinearEquiv_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) :
   rfl
 #align linear_equiv.to_linear_equiv_to_continuous_linear_equiv LinearEquiv.toLinearEquiv_toContinuousLinearEquiv
 
--- Porting note: @[simp] can prove this
+-- Porting note (#10618): @[simp] can prove this
 theorem toLinearEquiv_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
     e.toContinuousLinearEquiv.symm.toLinearEquiv = e.symm := by
   ext x
refactor(UniformSpace): drop separationRel (#10644)

We had duplicated API between topological spaces and uniform spaces. In this PR I mostly deduplicate it with some exceptions:

  • SeparationQuotient.lift' and SeparationQuotient.map are leftovers from the old version that are designed to work with uniform spaces;
  • probably, some theorems/instances still assume UniformSpace when TopologicalSpace would work.

Outside of UniformSpace/Separation, I mostly changed SeparatedSpace to T0Space and separationRel to Inseparable. I also rewrote a few proofs that were broken by the API change.

Fixes #2031

Diff
@@ -195,11 +195,10 @@ variable [CompleteSpace π•œ]
 
 /-- This version imposes `ΞΉ` and `E` to live in the same universe, so you should instead use
 `continuous_equivFun_basis` which gives the same result without universe restrictions. -/
-private theorem continuous_equivFun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [Fintype ΞΉ]
+private theorem continuous_equivFun_basis_aux [T2Space E] {ΞΉ : Type v} [Fintype ΞΉ]
     (ΞΎ : Basis ΞΉ π•œ E) : Continuous ΞΎ.equivFun := by
   letI : UniformSpace E := TopologicalAddGroup.toUniformSpace E
   letI : UniformAddGroup E := comm_topologicalAddGroup_is_uniform
-  letI : SeparatedSpace E := separated_iff_t2.mpr ht2
   induction' hn : Fintype.card ΞΉ with n IH generalizing ΞΉ E
   Β· rw [Fintype.card_eq_zero_iff] at hn
     exact continuous_of_const fun x y => funext hn.elim
@@ -546,7 +545,6 @@ theorem Submodule.closed_of_finiteDimensional (s : Submodule π•œ E) [FiniteDime
     IsClosed (s : Set E) :=
   letI := TopologicalAddGroup.toUniformSpace E
   haveI : UniformAddGroup E := comm_topologicalAddGroup_is_uniform
-  haveI := separated_iff_t2.2 β€ΉT2Space Eβ€Ί
   s.complete_of_finiteDimensional.isClosed
 #align submodule.closed_of_finite_dimensional Submodule.closed_of_finiteDimensional
 
chore(Topology): Fintype -> Finite (#10262)
Diff
@@ -270,7 +270,7 @@ instance LinearMap.continuousLinearMapClassOfFiniteDimensional [T2Space E] [Fini
 This is the key fact which makes all linear maps from a T2 finite dimensional TVS over such a field
 continuous (see `LinearMap.continuous_of_finiteDimensional`), which in turn implies that all
 norms are equivalent in finite dimensions. -/
-theorem continuous_equivFun_basis [T2Space E] {ΞΉ : Type*} [Fintype ΞΉ] (ΞΎ : Basis ΞΉ π•œ E) :
+theorem continuous_equivFun_basis [T2Space E] {ΞΉ : Type*} [Finite ΞΉ] (ΞΎ : Basis ΞΉ π•œ E) :
     Continuous ΞΎ.equivFun :=
   haveI : FiniteDimensional π•œ E := of_fintype_basis ΞΎ
   ΞΎ.equivFun.toLinearMap.continuous_of_finiteDimensional
@@ -433,7 +433,7 @@ namespace Basis
 
 set_option linter.uppercaseLean3 false
 
-variable {ΞΉ : Type*} [Fintype ΞΉ] [T2Space E]
+variable {ΞΉ : Type*} [Finite ΞΉ] [T2Space E]
 
 /-- Construct a continuous linear map given the value at a finite basis. -/
 def constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : E β†’L[π•œ] F :=
@@ -465,7 +465,7 @@ lemma equivFunL_symm_apply_repr (v : Basis ΞΉ π•œ E) (x : E) :
   v.equivFunL.symm_apply_apply x
 
 @[simp]
-theorem constrL_apply (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
+theorem constrL_apply {ΞΉ : Type*} [Fintype ΞΉ] (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
     v.constrL f e = βˆ‘ i, v.equivFun e i β€’ f i :=
   v.constr_apply_fintype π•œ _ _
 #align basis.constrL_apply Basis.constrL_apply
feat: add Inducing.continuousSMul (#9713)
  • add Inducing.continuousSMul and Inducing.continuousVAdd;
  • use it to golf Units.continuousSMul and Inducing.continuousMul;
  • generalize Submonoid.continuousSMul from a submonoid of a group to a submonoid of a monoid;
  • reuse Submonoid.continuousSMul in Subgroup.continuousSMul.
Diff
@@ -158,9 +158,8 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ)
     -- is injective. Since `Ο†.symm` is linear, it is also a vector space topology.
     -- Hence, we know that it is equal to the topology induced by the norm.
     have : induced Ο†.toEquiv.symm inferInstance = hnorm.toUniformSpace.toTopologicalSpace := by
-      refine'
-        unique_topology_of_t2 (topologicalAddGroup_induced Ο†.symm.toLinearMap)
-          (continuousSMul_induced Ο†.symm.toLinearMap) _
+      refine' unique_topology_of_t2 (topologicalAddGroup_induced Ο†.symm.toLinearMap)
+        (continuousSMul_induced Ο†.symm.toLinearMap) _
       -- Porting note: was `rw [t2Space_iff]`
       refine (@t2Space_iff π•œ (induced (↑(LinearEquiv.toEquiv Ο†).symm) inferInstance)).mpr ?_
       exact fun x y hxy =>
chore: Generalize results on finrank to rings. (#8912)

A portion of results in Mathlib/LinearAlgebra/FiniteDimensional.lean were generalized to rings and moved to Mathlib/LinearAlgebra/FreeModule/Finite/Rank.lean. Most API lemmas for FiniteDimensional are kept but replaced with one lemma proofs. Definitions and niche lemmas are replaced by the generalized version completely.

Co-authored-by: erd1 <the.erd.one@gmail.com> Co-authored-by: Andrew Yang <the.erd.one@gmail.com>

Diff
@@ -133,7 +133,7 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ)
     Continuous l := by
   -- `l` is either constant or surjective. If it is constant, the result is trivial.
   by_cases H : finrank π•œ (LinearMap.range l) = 0
-  Β· rw [finrank_eq_zero, LinearMap.range_eq_bot] at H
+  Β· rw [Submodule.finrank_eq_zero, LinearMap.range_eq_bot] at H
     rw [H]
     exact continuous_zero
   Β· -- In the case where `l` is surjective, we factor it as `Ο† : (E β§Έ l.ker) ≃ₗ[π•œ] π•œ`. Note that
@@ -225,7 +225,7 @@ private theorem continuous_equivFun_basis_aux [ht2 : T2Space E] {ΞΉ : Type v} [F
     have Hβ‚‚ : βˆ€ f : E β†’β‚—[π•œ] π•œ, Continuous f := by
       intro f
       by_cases H : finrank π•œ (LinearMap.range f) = 0
-      Β· rw [finrank_eq_zero, LinearMap.range_eq_bot] at H
+      Β· rw [Submodule.finrank_eq_zero, LinearMap.range_eq_bot] at H
         rw [H]
         exact continuous_zero
       Β· have : finrank π•œ (LinearMap.ker f) = n := by
chore: rename by_contra' to by_contra! (#8797)

To fit with the "please try harder" convention of ! tactics.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -100,7 +100,7 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
     Β· rw [mem_closedBall_zero_iff]
       -- Now suppose `ΞΎ β‰  0`. By contradiction, let's assume `Ξ΅ < β€–ΞΎβ€–`, and show that
       -- `ΞΎβ‚€ ∈ 𝓑 βŠ† {ΞΎβ‚€}ᢜ`, which is a contradiction.
-      by_contra' h
+      by_contra! h
       suffices (ΞΎβ‚€ * ξ⁻¹) β€’ ΞΎ ∈ balancedCore π•œ {ΞΎβ‚€}ᢜ by
         rw [smul_eq_mul π•œ, mul_assoc, inv_mul_cancel hΞΎ0, mul_one] at this
         exact not_mem_compl_iff.mpr (mem_singleton ΞΎβ‚€) ((balancedCore_subset _) this)
feat(Analysis/HahnBanach): extension of a CLM with finite dimensional range (#8604)

Also add 2 missing simp lemmas and prove that a finite dimensional subspace is ClosedComplemented.

Diff
@@ -449,6 +449,7 @@ theorem coe_constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : (v.constrL f : E β†’
 
 /-- The continuous linear equivalence between a vector space over `π•œ` with a finite basis and
 functions from its basis indexing type to `π•œ`. -/
+@[simps! apply]
 def equivFunL (v : Basis ΞΉ π•œ E) : E ≃L[π•œ] ΞΉ β†’ π•œ :=
   { v.equivFun with
     continuous_toFun :=
@@ -459,6 +460,11 @@ def equivFunL (v : Basis ΞΉ π•œ E) : E ≃L[π•œ] ΞΉ β†’ π•œ :=
       exact v.equivFun.symm.toLinearMap.continuous_of_finiteDimensional }
 #align basis.equiv_funL Basis.equivFunL
 
+@[simp]
+lemma equivFunL_symm_apply_repr (v : Basis ΞΉ π•œ E) (x : E) :
+    v.equivFunL.symm (v.repr x) = x :=
+  v.equivFunL.symm_apply_apply x
+
 @[simp]
 theorem constrL_apply (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) (e : E) :
     v.constrL f e = βˆ‘ i, v.equivFun e i β€’ f i :=
chore: remove many Type _ before the colon (#7718)

We have turned to Type* instead of Type _, but many of them remained in mathlib because the straight replacement did not work. In general, having Type _ before the colon is a code smell, though, as it hides which types should be in the same universe and which shouldn't, and is not very robust.

This PR replaces most of the remaining Type _ before the colon (except those in category theory) by Type* or Type u. This has uncovered a few bugs (where declarations were not as polymorphic as they should be).

I had to increase heartbeats at two places when replacing Type _ by Type*, but I think it's worth it as it's really more robust.

Diff
@@ -509,7 +509,7 @@ end NormedField
 
 section UniformAddGroup
 
-variable (π•œ E : Type _) [NontriviallyNormedField π•œ]
+variable (π•œ E : Type*) [NontriviallyNormedField π•œ]
   [CompleteSpace π•œ] [AddCommGroup E] [UniformSpace E] [T2Space E] [UniformAddGroup E]
   [Module π•œ E] [ContinuousSMul π•œ E] [FiniteDimensional π•œ E]
 
@@ -530,7 +530,7 @@ theorem Submodule.complete_of_finiteDimensional (s : Submodule π•œ E) [FiniteDi
 
 end UniformAddGroup
 
-variable {π•œ E F : Type _} [NontriviallyNormedField π•œ] [CompleteSpace π•œ]
+variable {π•œ E F : Type*} [NontriviallyNormedField π•œ] [CompleteSpace π•œ]
    [AddCommGroup E] [TopologicalSpace E] [T2Space E] [TopologicalAddGroup E] [Module π•œ E]
    [ContinuousSMul π•œ E]
    [AddCommGroup F] [TopologicalSpace F] [T2Space F] [TopologicalAddGroup F] [Module π•œ F]
feat: generalize some lemmas from a normed space to a TVS (#5771)
  • Generalize FiniteDimensional.complete, Submodule.complete_of_finiteDimensional from a normed space over π•œ to a uniform additive commutative group that is a TVS over π•œ.
  • Generalize Submodule.closed_of_finiteDimensional, LinearMap.closedEmbedding_of_injective, closedEmbedding_smul_left isClosedMap_smul_left, and ContinuousLinearMap.exists_right_inverse_of_surjective from a normed space to a TVS.
  • Rename finiteDimensional_of_isCompact_closed_ballβ‚€ to finiteDimensional_of_isCompact_closedBallβ‚€.

Co-authored-by: ADedecker <anatolededecker@gmail.com>

Diff
@@ -506,3 +506,70 @@ theorem _root_.Matrix.toLin_finTwoProd_toContinuousLinearMap (a b c d : π•œ) :
 end ContinuousLinearMap
 
 end NormedField
+
+section UniformAddGroup
+
+variable (π•œ E : Type _) [NontriviallyNormedField π•œ]
+  [CompleteSpace π•œ] [AddCommGroup E] [UniformSpace E] [T2Space E] [UniformAddGroup E]
+  [Module π•œ E] [ContinuousSMul π•œ E] [FiniteDimensional π•œ E]
+
+theorem FiniteDimensional.complete : CompleteSpace E := by
+  set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun π•œ _ _ (finrank π•œ E)).symm
+  have : UniformEmbedding e.toLinearEquiv.toEquiv.symm := e.symm.uniformEmbedding
+  exact (completeSpace_congr this).1 (by infer_instance)
+#align finite_dimensional.complete FiniteDimensional.complete
+
+variable {π•œ E}
+
+/-- A finite-dimensional subspace is complete. -/
+theorem Submodule.complete_of_finiteDimensional (s : Submodule π•œ E) [FiniteDimensional π•œ s] :
+    IsComplete (s : Set E) :=
+  haveI : UniformAddGroup s := s.toAddSubgroup.uniformAddGroup
+  completeSpace_coe_iff_isComplete.1 (FiniteDimensional.complete π•œ s)
+#align submodule.complete_of_finite_dimensional Submodule.complete_of_finiteDimensional
+
+end UniformAddGroup
+
+variable {π•œ E F : Type _} [NontriviallyNormedField π•œ] [CompleteSpace π•œ]
+   [AddCommGroup E] [TopologicalSpace E] [T2Space E] [TopologicalAddGroup E] [Module π•œ E]
+   [ContinuousSMul π•œ E]
+   [AddCommGroup F] [TopologicalSpace F] [T2Space F] [TopologicalAddGroup F] [Module π•œ F]
+   [ContinuousSMul π•œ F]
+
+/-- A finite-dimensional subspace is closed. -/
+theorem Submodule.closed_of_finiteDimensional (s : Submodule π•œ E) [FiniteDimensional π•œ s] :
+    IsClosed (s : Set E) :=
+  letI := TopologicalAddGroup.toUniformSpace E
+  haveI : UniformAddGroup E := comm_topologicalAddGroup_is_uniform
+  haveI := separated_iff_t2.2 β€ΉT2Space Eβ€Ί
+  s.complete_of_finiteDimensional.isClosed
+#align submodule.closed_of_finite_dimensional Submodule.closed_of_finiteDimensional
+
+/-- An injective linear map with finite-dimensional domain is a closed embedding. -/
+theorem LinearMap.closedEmbedding_of_injective [FiniteDimensional π•œ E] {f : E β†’β‚—[π•œ] F}
+    (hf : LinearMap.ker f = βŠ₯) : ClosedEmbedding f :=
+  let g := LinearEquiv.ofInjective f (LinearMap.ker_eq_bot.mp hf)
+  { embedding_subtype_val.comp g.toContinuousLinearEquiv.toHomeomorph.embedding with
+    closed_range := by
+      haveI := f.finiteDimensional_range
+      simpa [LinearMap.range_coe f] using f.range.closed_of_finiteDimensional }
+#align linear_equiv.closed_embedding_of_injective LinearMap.closedEmbedding_of_injective
+
+theorem closedEmbedding_smul_left {c : E} (hc : c β‰  0) : ClosedEmbedding fun x : π•œ => x β€’ c :=
+  LinearMap.closedEmbedding_of_injective (LinearMap.ker_toSpanSingleton π•œ E hc)
+#align closed_embedding_smul_left closedEmbedding_smul_left
+
+-- `smul` is a closed map in the first argument.
+theorem isClosedMap_smul_left (c : E) : IsClosedMap fun x : π•œ => x β€’ c := by
+  by_cases hc : c = 0
+  Β· simp_rw [hc, smul_zero]
+    exact isClosedMap_const
+  Β· exact (closedEmbedding_smul_left hc).isClosedMap
+#align is_closed_map_smul_left isClosedMap_smul_left
+
+theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensional π•œ F]
+    (f : E β†’L[π•œ] F) (hf : LinearMap.range f = ⊀) :
+    βˆƒ g : F β†’L[π•œ] E, f.comp g = ContinuousLinearMap.id π•œ F :=
+  let ⟨g, hg⟩ := (f : E β†’β‚—[π•œ] F).exists_rightInverse_of_surjective hf
+  ⟨LinearMap.toContinuousLinearMap g, ContinuousLinearMap.coe_inj.1 hg⟩
+#align continuous_linear_map.exists_right_inverse_of_surjective ContinuousLinearMap.exists_right_inverse_of_surjective
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -52,7 +52,7 @@ open Set FiniteDimensional TopologicalSpace Filter BigOperators
 
 section Field
 
-variable {π•œ E F : Type _} [Field π•œ] [TopologicalSpace π•œ] [AddCommGroup E] [Module π•œ E]
+variable {π•œ E F : Type*} [Field π•œ] [TopologicalSpace π•œ] [AddCommGroup E] [Module π•œ E]
   [TopologicalSpace E] [AddCommGroup F] [Module π•œ F] [TopologicalSpace F] [TopologicalAddGroup F]
   [ContinuousSMul π•œ F]
 
@@ -271,7 +271,7 @@ instance LinearMap.continuousLinearMapClassOfFiniteDimensional [T2Space E] [Fini
 This is the key fact which makes all linear maps from a T2 finite dimensional TVS over such a field
 continuous (see `LinearMap.continuous_of_finiteDimensional`), which in turn implies that all
 norms are equivalent in finite dimensions. -/
-theorem continuous_equivFun_basis [T2Space E] {ΞΉ : Type _} [Fintype ΞΉ] (ΞΎ : Basis ΞΉ π•œ E) :
+theorem continuous_equivFun_basis [T2Space E] {ΞΉ : Type*} [Fintype ΞΉ] (ΞΎ : Basis ΞΉ π•œ E) :
     Continuous ΞΎ.equivFun :=
   haveI : FiniteDimensional π•œ E := of_fintype_basis ΞΎ
   ΞΎ.equivFun.toLinearMap.continuous_of_finiteDimensional
@@ -434,7 +434,7 @@ namespace Basis
 
 set_option linter.uppercaseLean3 false
 
-variable {ΞΉ : Type _} [Fintype ΞΉ] [T2Space E]
+variable {ΞΉ : Type*} [Fintype ΞΉ] [T2Space E]
 
 /-- Construct a continuous linear map given the value at a finite basis. -/
 def constrL (v : Basis ΞΉ π•œ E) (f : ΞΉ β†’ F) : E β†’L[π•œ] F :=
chore: remove duplicate lemma FiniteDimensional.eq_top_of_finrank_eq (#6304)

The lemma is a perfect duplicate of Submodule.eq_top_of_finrank_eq.

Diff
@@ -145,7 +145,7 @@ theorem LinearMap.continuous_of_isClosed_ker (l : E β†’β‚—[π•œ] π•œ)
       exact Submodule.ker_liftQ_eq_bot _ _ _ (le_refl _)
     have hs : Function.Surjective ((LinearMap.ker l).liftQ l (le_refl _)) := by
       rw [← LinearMap.range_eq_top, Submodule.range_liftQ]
-      exact eq_top_of_finrank_eq ((finrank_self π•œ).symm β–Έ this)
+      exact Submodule.eq_top_of_finrank_eq ((finrank_self π•œ).symm β–Έ this)
     let Ο† : (E β§Έ LinearMap.ker l) ≃ₗ[π•œ] π•œ :=
       LinearEquiv.ofBijective ((LinearMap.ker l).liftQ l (le_refl _)) ⟨hi, hs⟩
     have hlΟ† : (l : E β†’ π•œ) = Ο† ∘ (LinearMap.ker l).mkQ := by ext; rfl
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -2,17 +2,14 @@
 Copyright (c) 2022 Anatole Dedecker. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: SΓ©bastien GouΓ«zel, Anatole Dedecker
-
-! This file was ported from Lean 3 source module topology.algebra.module.finite_dimension
-! leanprover-community/mathlib commit 9425b6f8220e53b059f5a4904786c3c4b50fc057
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.LocallyConvex.BalancedCoreHull
 import Mathlib.LinearAlgebra.FreeModule.Finite.Matrix
 import Mathlib.Topology.Algebra.Module.Simple
 import Mathlib.Topology.Algebra.Module.Determinant
 
+#align_import topology.algebra.module.finite_dimension from "leanprover-community/mathlib"@"9425b6f8220e53b059f5a4904786c3c4b50fc057"
+
 /-!
 # Finite dimensional topological vector spaces over complete fields
 
fix: change compl precedence (#5586)

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

Diff
@@ -94,7 +94,7 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
       mem_compl_singleton_iff.mpr <| Ne.symm <| norm_ne_zero_iff.mp hΞΎβ‚€.ne.symm
     -- Thus, its balanced core `𝓑` is too. Let's show that the closed ball of radius `Ξ΅` contains
     -- `𝓑`, which will imply that the closed ball is indeed a `𝓣`-neighborhood of 0.
-    have : balancedCore π•œ ({ΞΎβ‚€}ᢜ) ∈ @nhds π•œ t 0 := balancedCore_mem_nhds_zero this
+    have : balancedCore π•œ {ΞΎβ‚€}ᢜ ∈ @nhds π•œ t 0 := balancedCore_mem_nhds_zero this
     refine' mem_of_superset this fun ΞΎ hΞΎ => _
     -- Let `ΞΎ ∈ 𝓑`. We want to show `β€–ΞΎβ€– < Ξ΅`. If `ΞΎ = 0`, this is trivial.
     by_cases hΞΎ0 : ΞΎ = 0
@@ -104,7 +104,7 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
       -- Now suppose `ΞΎ β‰  0`. By contradiction, let's assume `Ξ΅ < β€–ΞΎβ€–`, and show that
       -- `ΞΎβ‚€ ∈ 𝓑 βŠ† {ΞΎβ‚€}ᢜ`, which is a contradiction.
       by_contra' h
-      suffices (ΞΎβ‚€ * ξ⁻¹) β€’ ΞΎ ∈ balancedCore π•œ ({ΞΎβ‚€}ᢜ) by
+      suffices (ΞΎβ‚€ * ξ⁻¹) β€’ ΞΎ ∈ balancedCore π•œ {ΞΎβ‚€}ᢜ by
         rw [smul_eq_mul π•œ, mul_assoc, inv_mul_cancel hΞΎ0, mul_one] at this
         exact not_mem_compl_iff.mpr (mem_singleton ΞΎβ‚€) ((balancedCore_subset _) this)
       -- For that, we use that `𝓑` is balanced : since `β€–ΞΎβ‚€β€– < Ξ΅ < β€–ΞΎβ€–`, we have `β€–ΞΎβ‚€ / ΞΎβ€– ≀ 1`,
@@ -189,7 +189,7 @@ theorem LinearMap.continuous_of_nonzero_on_open (l : E β†’β‚—[π•œ] π•œ) (s : S
     (hsβ‚‚ : s.Nonempty) (hs₃ : βˆ€ x ∈ s, l x β‰  0) : Continuous l := by
   refine' l.continuous_of_isClosed_ker (l.isClosed_or_dense_ker.resolve_right fun hl => _)
   rcases hsβ‚‚ with ⟨x, hx⟩
-  have : x ∈ interior ((LinearMap.ker l : Set E)ᢜ) := by
+  have : x ∈ interior (LinearMap.ker l : Set E)ᢜ := by
     rw [mem_interior_iff_mem_nhds]
     exact mem_of_superset (hs₁.mem_nhds hx) hs₃
   rwa [hl.interior_compl] at this
chore: convert lambda in docs to fun (#5045)

Found with git grep -n "Ξ» [a-zA-Z_ ]*,"

Diff
@@ -112,7 +112,7 @@ theorem unique_topology_of_t2 {t : TopologicalSpace π•œ} (h₁ : @TopologicalAd
       refine' (balancedCore_balanced _).smul_mem _ hΞΎ
       rw [norm_mul, norm_inv, mul_inv_le_iff (norm_pos_iff.mpr hΞΎ0), mul_one]
       exact (hΞΎβ‚€Ξ΅.trans h).le
-  Β· -- Finally, to show `𝓣₀ ≀ 𝓣`, we simply argue that `id = (Ξ» x, x β€’ 1)` is continuous from
+  Β· -- Finally, to show `𝓣₀ ≀ 𝓣`, we simply argue that `id = (fun x ↦ x β€’ 1)` is continuous from
     -- `(π•œ, 𝓣₀)` to `(π•œ, 𝓣)` because `(β€’) : (π•œ, 𝓣₀) Γ— (π•œ, 𝓣) β†’ (π•œ, 𝓣)` is continuous.
     calc
       @nhds π•œ hnorm.toUniformSpace.toTopologicalSpace 0 =
chore: fix many typos (#4535)

Run codespell Mathlib and keep some suggestions.

Diff
@@ -271,7 +271,7 @@ instance LinearMap.continuousLinearMapClassOfFiniteDimensional [T2Space E] [Fini
 
 /-- In finite dimensions over a non-discrete complete normed field, the canonical identification
 (in terms of a basis) with `π•œ^n` (endowed with the product topology) is continuous.
-This is the key fact wich makes all linear maps from a T2 finite dimensional TVS over such a field
+This is the key fact which makes all linear maps from a T2 finite dimensional TVS over such a field
 continuous (see `LinearMap.continuous_of_finiteDimensional`), which in turn implies that all
 norms are equivalent in finite dimensions. -/
 theorem continuous_equivFun_basis [T2Space E] {ΞΉ : Type _} [Fintype ΞΉ] (ΞΎ : Basis ΞΉ π•œ E) :
chore: tidy various files (#4466)
Diff
@@ -17,7 +17,7 @@ import Mathlib.Topology.Algebra.Module.Determinant
 # Finite dimensional topological vector spaces over complete fields
 
 Let `π•œ` be a complete nontrivially normed field, and `E` a topological vector space (TVS) over
-`π•œ` (i.e we have `[AddCommGroupCat E] [ModuleCat π•œ E] [TopologicalSpace E] [TopologicalAddGroup E]`
+`π•œ` (i.e we have `[AddCommGroup E] [Module π•œ E] [TopologicalSpace E] [TopologicalAddGroup E]`
 and `[ContinuousSMul π•œ E]`).
 
 If `E` is finite dimensional and Hausdorff, then all linear maps from `E` to any other TVS are
@@ -51,9 +51,7 @@ universe u v w x
 
 noncomputable section
 
-open Set FiniteDimensional TopologicalSpace Filter
-
-open BigOperators
+open Set FiniteDimensional TopologicalSpace Filter BigOperators
 
 section Field
 
@@ -297,9 +295,9 @@ def toContinuousLinearMap : (E β†’β‚—[π•œ] F') ≃ₗ[π•œ] E β†’L[π•œ] F' whe
 #align linear_map.to_continuous_linear_map LinearMap.toContinuousLinearMap
 
 @[simp]
-theorem coe_to_continuous_linear_map' (f : E β†’β‚—[π•œ] F') : ⇑(LinearMap.toContinuousLinearMap f) = f :=
+theorem coe_toContinuousLinearMap' (f : E β†’β‚—[π•œ] F') : ⇑(LinearMap.toContinuousLinearMap f) = f :=
   rfl
-#align linear_map.coe_to_continuous_linear_map' LinearMap.coe_to_continuous_linear_map'
+#align linear_map.coe_to_continuous_linear_map' LinearMap.coe_toContinuousLinearMap'
 
 @[simp]
 theorem coe_toContinuousLinearMap (f : E β†’β‚—[π•œ] F') :
@@ -373,9 +371,9 @@ theorem coe_toContinuousLinearEquiv (e : E ≃ₗ[π•œ] F) : (e.toContinuousLine
 #align linear_equiv.coe_to_continuous_linear_equiv LinearEquiv.coe_toContinuousLinearEquiv
 
 @[simp]
-theorem coe_to_continuous_linear_equiv' (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’ F) = e :=
+theorem coe_toContinuousLinearEquiv' (e : E ≃ₗ[π•œ] F) : (e.toContinuousLinearEquiv : E β†’ F) = e :=
   rfl
-#align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_to_continuous_linear_equiv'
+#align linear_equiv.coe_to_continuous_linear_equiv' LinearEquiv.coe_toContinuousLinearEquiv'
 
 @[simp]
 theorem coe_toContinuousLinearEquiv_symm (e : E ≃ₗ[π•œ] F) :
feat: port Topology.Algebra.Module.FiniteDimension (#3796)

Co-authored-by: Scott Morrison <scott@tqft.net> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Dependencies 12 + 775

776 files ported (98.5%)
340946 lines ported (98.4%)
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The unported dependencies are

The following 1 dependencies have changed in mathlib3 since they were ported, which may complicate porting this file